
The PolyanskiyVerdú paradigm provides an elegant way of using generalizeddivergences to obtain strong converses and thus far has remained confined to protocols involving channels (classical or quantum). In this paper, drawing inspirations from it, we provide strong converses for protocols involving LOCC (local operations and classical communication). The key quantity that we work with is the Rényi relative entropy of entanglement. We provide a strong converse for the quantum state merging protocol that gives an exponential decay of the fidelity of the protocol for rates below the optimum with the number of copies of the state and are provided both for entanglement rate with LOCC as well as for classical communication with oneway LOCC. As an aside, the developments also yield short strong converses for the entanglementconcentration of pure states and the Schumacher compression.

We introduce the strong security of quantum ramp secret sharing by translating the corresponding notion of classical ramp secret sharing. Then we propose an explicit construction of quantum ramp secret sharing scheme with strong security. The sizes of a secret and shares are the same as those of the conventional quantum ramp secret sharing scheme by Ogawa et al.

We introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian model, and that input fields in these states lead to master and filtering (quantum trajectory) equations which are matrixvalued. Furthermore, it is shown that this class of continuous matrix product states include the (continuousmode) single photon and timeordered multiphoton states.

Quantum networks play an important role in the implementation of quantum computing, communication and metrology. Circuit quantum electrodynamics (QED), consisting of superconducting artificial atoms coupled to onchip resonators, provides a prime candidate to implement these networks due to their controllability and scalability. Furthermore, recent advances have also pushed the technology to the ultrastrong coupling (USC) regime of lightmatter interaction, where the qubitcavity coupling strength reaches a considerable fraction of the cavity frequency. Here, we propose the implementation of a scalable quantum randomaccess memory (QRAM) architecture based on a circuit QED network, whose edges operate in the USC regime. In particular, we study the storage and retrieval of quantum information in a parityprotected quantum memory and propose quantum interconnects in experimentally feasible schemes. Our proposal may pave the way for novel quantum memory applications ranging from entangledstate cryptography, teleportation, purification, faulttolerant quantum computation, to quantum simulations.

We prove the generalized Covariant Entropy Bound, $\Delta S\leq (AA')/4G\hbar$, for lightsheets with initial area $A$ and final area $A'$. The entropy $\Delta S$ is defined as a difference of von Neumann entropies of an arbitrary state and the vacuum, with both states restricted to the lightsheet under consideration. The proof applies to free fields, in the limit where gravitational backreaction is small. We do not assume the null energy condition. In regions where it is violated, we find that the bound is protected by the defining property of lightsheets: that their null generators are nowhere expanding.

In analogy to transistors in classical electronic circuits, a quantum optical switch is an important element of quantum circuits and quantum networks. Operated at the fundamental limit where a single quantum of light or matter controls another field or material system, it may enable fascinating applications such as longdistance quantum communication, distributed quantum information processing and metrology, and the exploration of novel quantum states of matter. Here, by strongly coupling a photon to a single atom trapped in the near field of a nanoscale photonic crystal cavity, we realize a system where a single atom switches the phase of a photon, and a single photon modifies the atom's phase. We experimentally demonstrate an atominduced optical phase shift that is nonlinear at the twophoton level, a photon number router that separates individual photons and photon pairs into different output modes, and a singlephoton switch where a single "gate" photon controls the propagation of a subsequent probe field. These techniques pave the way towards integrated quantum nanophotonic networks involving multiple atomic nodes connected by guided light.

We show that any $y$monotone polyline drawing can be straightened out while maintaining $y$coordinates and height. The width may increase much, but we also show that on some graphs exponential width is required if we do not want to increase the height. Likewise $y$monotonicity is required: there are polyline drawings (not $y$monotone) that cannot be straightened out while maintaining the height. We give some applications of our result.

In view of the selflinking invariant, the number $K$ of framed knots in $S^3$ with given underlying knot $K$ is infinite. In fact, the second author previously defined affine selflinking invariants and used them to show that $K$ is infinite for every knot in an orientable manifold unless the manifold contains a connected sum factor of $S^1\times S^2$; the knot $K$ need not be zerohomologous and the manifold is not required to be compact. We show that when $M$ is orientable, the number $K$ is infinite unless $K$ intersects a nonseparating sphere at exactly one point, in which case $K=2$; the existence of a nonseparating sphere implies that $M$ contains a connected sum factor of $S^1\times S^2$. For knots in nonorientable manifolds we show that if $K$ is finite, then $K$ is disorienting, or there is an isotopy from the knot to itself which changes the orientation of its normal bundle, or it intersects some embedded $S^2$ or $\mathbb R P^2$ at exactly one point, or it intersects some embedded $S^2$ at exactly two points in such a way that a closed curve consisting of an arc in $K$ between the intersection points and an arc in $S^2$ is disorienting.

We present a theory of magnetotransport through an electronic orbital, where the electron spin interacts with a (sufficiently) large external spin via an exchange interaction. Using a semiclassical approximation, we derive a set of equations of motions for the electron density matrix and the mean value of the external spin that turns out to be highly nonlinear. The dissipation via the electronic leads are implemented in terms of a quantum master equation that is combined with the nonlinear terms of the spinspin interaction. With an anisotropic exchange coupling a variety of dynamics is generated, such as selfsustained oscillations with parametric resonances or even chaotic behavior. Within our theory we can integrate a Maxwell demonlike closedloop feedback scheme, that is capable of transporting particles against an applied bias voltage and that can be used to implement a spin filter to generate spindependent oscillating currents of opposite directions.

Quantum discord is a function of densitymatrix elements (and through them, e.~g., of temperature, applied fields, time, and so forth). The domain of such a function in the case of twoqubit system with X or centrosymmetric (CS) density matrix can consist at most of three subdomains: two ones, where the quantum discord is expressed in closed analytical forms (Q_0 and Q_\pi/2), and an intermediate subdomain in which for determining the quantum discord Q_\theta it is required to solve numerically a onedimensional minimization problem to find the optimal measurement angle \theta∈(0,\pi/2). Exact equations for determining the boundaries between these subdomains are obtained and solved for a number of models. The Q_\theta subdomains are discovered in the anisotropic spin dimers in external field. On the other hand, coinciding boundaries and therefore sudden transitions between optimal measurement angles \theta=\pi/2 and \theta=0 are observed in dynamics of spin currying particles in closed nanopore and also in phase flip channels. In latter cases the solutions are entirely analytical.

Spatiallycoupled LDPC codes are known to have excellent asymptotic properties. Much less is known regarding their finitelength performance. We propose a scaling law to predict the error probability of finitelength spatially coupled ensembles when transmission takes place over the binary erasure channel. We discuss how the parameters of the scaling law are connected to fundamental quantities appearing in the asymptotic analysis of these ensembles and we verify that the predictions of the scaling law fit well to the data derived from simulations over a wide range of parameters. The ultimate goal of this line of research is to develop analytic tools for the design of good finitelength error correcting codes.

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the secret key length, which is derived using a reduction of binary hypothesis testing to multiparty secret key agreement. Building on this basic result, we derive new converses for multiparty secret key agreement. Furthermore, we derive converse results for the oblivious transfer problem and the bit commitment problem by relating them to secret key agreement. Finally, we derive a necessary condition for the feasibility of secure computing by trusted parties that seek to compute a function of their collective data, using interactive public communication that by itself does not give away the value of the function. In many cases, we strengthen and improve upon previously known converse bounds. Our results are singleshot and do not assume that the observations are independent and identically distributed. For the case when the observations are indeed independent and identically distributed, we derive strong versions of previously known converses.

Multistage optimization under uncertainty techniques can be used to solve longterm management problems. Although many optimization modeling language extensions as well as computational environments have been proposed, the acceptance of this technique is generally low, due to the inherent complexity of the modeling and solution process. In this paper a simplification to annotate multistage decision problems under uncertainty is presented  this simplification contrasts with the common approach to create an extension on top of an existing optimization modeling language. This leads to the definition of meta models, which can be instanced in various programming languages. An example using the statistical computing language R is shown.

It has been shown in earlier works that the vertices of Platonic solids are good measurement choices for tests of EPRsteering using isotropically entangled pairs of qubits. Such measurements are regularly spaced, and measurement diversity is a good feature for making EPRsteering inequalities easier to violate in the presence of experimental imperfections. However, such measurements are provably suboptimal. Here, we develop a method for devising optimal strategies for tests of EPRsteering, in the sense of being most robust to mixture and inefficiency (while still closing the detection loophole of course), for a given number $n$ of measurement settings. We allow for arbitrary measurement directions, and arbitrary weightings of the outcomes in the EPRsteering inequality. This is a difficult optimization problem for large $n$, so we also consider more practical ways of constructing nearoptimal EPRsteering inequalities in this limit.

The SDSSIII APOGEE collaboration has identified a single useable line in the Hband spectra of APOGEE target stars arising from a singly ionized species. This line of Ti II (${\lambda}_{air}$ = 15873.84 Å) is therefore of great importance for use in stellar surface gravity, or log(g), determinations via the Saha equation. While a theoretical estimate of the line strength exists, to date no laboratory measurement of the line strength has been reported. Herein we report an absolute laboratory transition probability measurement for this important Ti II line. A relative line strength measurement is made of the Ti II Hband line of interest and a reference line with a previously reported absolute transition probability. This ratio is measured using multiple spectra of a highcurrent watercooled HC lamp recorded with a calibrated FTIR spectrometer.

This paper develops tools for welfare and revenue analyses of BayesNash equilibria in asymmetric auctions with singledimensional agents. We employ these tools to derive \em price of anarchy results for social welfare and revenue. Our approach separates the standard smoothness framework \citep[e.g.,][]ST13 into two distinct parts. The first part, \emphvalue covering, employs bestresponse analysis to individually relate each agent's expected price for allocation and welfare in \emphany BayesNash equilibrium. The second part, \emphrevenue covering, uses properties of an auction's rules and feasibility constraints to relate the revenue of the auction to the agents' expected prices for allocation (not necessarily in equilibrium). Because value covering holds for any equilibrium, proving an auction is revenue covered is a sufficient condition for approximating optimal welfare, and under the right conditions, the optimal revenue. In mechanisms with reserve prices, our welfare results show approximation with respect to the optimal mechanism with the same reserves. As a centerpiece result, we analyze the singleitem firstprice auction with individual monopoly reserves (the price that a monopolist would post to sell to that agent alone, these reserves are generally distinct for agents with values drawn from distinct distributions). When each distribution satisfies the regularity condition of \citetM81 the auction's revenue is at least a $\frac{2e}{e1} \approx 3.16$ approximation to the revenue of the optimal auction revenue. We also give bounds for matroid auctions with first price or allpay semantics, and the generalized first price position auction. Finally, we give an extension theorem for simultaneous composition, i.e., when multiple auctions are run simultaneously, with singlevalued and unit demand agents.

We test a new "hybrid" scheme for simulating dynamical fluid flows in which cylindrical components of the momentum are advected across a rotating Cartesian coordinate mesh. This hybrid scheme allows us to conserve angular momentum to machine precision while capitalizing on the advantages offered by a Cartesian mesh, such as a straightforward implementation of mesh refinement. Our test focuses on measuring the real and imaginary parts of the eigenfrequency of unstable axisymmetric modes that naturally arise in massless polytropic tori having a range of different aspect ratios, and quantifying the uncertainty in these measurements. Our measured eigenfrequencies show good agreement with the results obtained from the linear stability analysis of Kojima (1986) and from nonlinear hydrodynamic simulations performed on a cylindrical coordinate mesh by Woodward et al. (1994). When compared against results conducted with a traditional Cartesian advection scheme, the hybrid scheme achieves qualitative convergence at the same or, in some cases, much lower grid resolutions and conserves angular momentum to a much higher degree of precision. As a result, this hybrid scheme is much better suited for simulating astrophysical fluid flows, such as accretion disks and masstransferring binary systems.

Electromagneticallyinducedtransparency (EIT) and AutlerTownes splitting (ATS) are two prominent examples of coherent interactions between optical fields and multilevel atoms. They have been observed in various physical systems involving atoms, molecules, metastructures and plasmons. In recent years, there has been an increasing interest in the implementations of alloptical analogues of EIT and ATS via the interacting resonant modes of one or more optical microcavities. Despite the differences in their underlying physics, both EIT and ATS are quantified by the appearance of a transparency window in the absorption or transmission spectrum, which often leads to a confusion about its origin. While in EIT the transparency window is a result of Fano interference among different transition pathways, in ATS it is the result of strong fielddriven interactions leading to the splitting of energy levels. Being able to tell objectively whether a transparency window observed in the spectrum is due to EIT or ATS is crucial for clarifying the physics involved and for practical applications. Here we report a systematic study of the pathways leading to EIT, Fano, and ATS, in systems of two coupled whisperinggallerymode (WGM) microtoroidal resonators. Moreover, we report for the first time the application of the Akaike Information Criterion discerning between alloptical analogues of EIT and ATS, and clarifying the transition between them.

We investigate the disordered copolymer and pinning models, in the case of a correlated Gaussian environment with summable correlations, and when the return distribution of the underlying renewal process has a polynomial tail. As far as the copolymer model is concerned, we prove disorder relevance both in terms of critical points and critical exponents, in the case of nonnegative correlations. When some of the correlations are negative, even the annealed model becomes nontrivial. Moreover, when the return distribution has a finite mean, we are able to compute the weak coupling limit of the critical curves for both models, with no restriction on the correlations other than summability. This generalizes the result of Berger, Caravenna, Poisat, Sun and Zygouras \citecf:BCPSZ to the correlated case. Interestingly, in the copolymer model, the weak coupling limit of the critical curve turns out to be the maximum of two quantities: one generalizing the limit found in the IID case \citecf:BCPSZ, the other one generalizing the socalled Monthus bound.

We construct the elliptic Painlevé equation and its higher dimensional analogs as the action of line bundles on 1dimensional sheaves on noncommutative surfaces.

We present the results of a study of the star HD 34736. The spectropolarimetric observations carried out at the 6m telescope showed the presence of a strong variable longitudinal magnetic field, exceeding 4500 G. The analysis of the HIPPARCOS photometry gives a set of possible periods of the brightness variability of the star, of which 0.3603 days is preferred. The variable radial velocity of spectral lines of the star and some signatures of lines of at least one other component show that HD 34736 is a double shortperiod system. Modeling of the spectra allowed us to estimate the effective temperature $T_{eff}$ of the stars (13 700 and 11 500 K) and their projected rotational velocities $v\sin i$ (73 and $\geq90$ km s$^{1}$). The analysis of all the available information about the star allows us to hypothesize that the object of study is a close, possibly interacting binary system.

In prior joint work with A. Connes on transverse index theory on foliations, Hopf cyclic cohomology has emerged as a decisive tool in deciphering the total index class of the hypoelliptic signature operator. For foliations of codimension n, we have found a Hopf algebra H(n) which plays the role of a "quantum" structure group for their "spaces of leaves". The Hopf cyclic cohomology of H(n) was shown to be canonically isomorphic to the GelfandFuks cohomology of the Lie algebra of formal vector fields in dimension n. Nevertheless, with a few lowdimensional exceptions, no explicit construction was known for the universal Hopf cyclic classes. This paper provides a geometric method for constructing representative cocycles of all Hopf cyclic cohomology classes of H(n) and of H(n) relative to O(n), and at the same time elucidates completely their relationship with the characteristic classes of foliations. In particular, we show that all these Hopf cyclic cohomology classes can be represented by cocycles involving only the canonical generators of H(n), the equivalent of the wellknown fact that all the GelfandFuks classes can be represented in terms of jets of order 2 of the vector fields

Anisotropic flow coefficients and their fluctuations are investigated for Au+Au collisions at center of mass energy $\sqrt{s_{NN}}$ = 200 GeV by using a multiphase transport model with string melting scenario. Experimental results of azimuthal anisotropies by means of the two and fourparticle cumulants are generally well reproduced by the model including both parton cascade and hadronic rescatterings. Eventbyevent treatments of the harmonic flow coefficients $v_n$ (for n = 2, 3 and 4) are performed, in which event distributions of $v_n$ for different orders are consistent with Gaussian shapes over all centrality bins. Systematic studies on centrality, transverse momentum ($p_{T}$) and pseudorapidity ($\eta$) dependencies of anisotropic flows and quantitative estimations of the flow fluctuations are presented. The $p_{T}$ and $\eta$ dependencies of absolute fluctuations for both $v_2$ and $v_3$ follow similar trends as their flow coefficients. Relative fluctuation of triangular flow $v_3$ is slightly centralitydependent, which is quite different from that of elliptic flow $v_2$. It is observed that parton cascade has a large effect on the flow fluctuations, but hadronic scatterings make little contribution to the flow fluctuations, which indicates flow fluctuations are mainly modified during partonic evolution stage.

We investigate $E_0$semigroups on general factors, which are not necessarily of type I, and analyse associated invariants like product systems, super product systems etc. By tensoring $E_0$semigroups on type I factors with $E_0$semigroups on type II$_1$ factor, we produce several families (both countable and uncountable), consisting of mutually noncocycleconjugate of $E_0$semigroups on the hyperfinite II$_\infty$ factor. Using CCR representations associated with quasifree states, we construct for the first time, uncountable families consisting of mutually noncocycleconjugate $E_0$semigroups on all type III$_\lambda$ factors, for $\lambda \in (0,1]$.

OPERA Collaboration,
N. Agafonova,
A. Aleksandrov,
A. Anokhina,
A. Ariga,
T. Ariga,
D. Bender,
A. Bertolin,
C. Bozza,
R. Brugnera,
A. Buonaura,
S. Buontempo,
B. Büttner,
M. Chernyavsky,
A. Chukanov,
L. Consiglio,
N. D'Ambrosio,
G. De Lellis,
M. De Serio,
P. Del Amo Sanchez,
et al (123)
A. Di Crescenzo,
D. Di Ferdinando,
N. Di Marco,
S. Dmitrievski,
M. Dracos,
D. Duchesneau,
S. Dusini,
T. Dzhatdoev,
J. Ebert,
A. Ereditato,
R. A. Fini,
T. Fukuda,
G. Galati,
A. Garfagnini,
G. Giacomelli,
C. Goellnitz,
J. Goldberg,
D. Goloubkov,
Y. Gornushkin,
G. Grella,
M. Guler,
C. Gustavino,
C. Hagner,
T. Hara,
A. Hollnagel,
B. Hosseini,
H. Ishida,
K. Ishiguro,
K. Jakovcic,
C. Jollet,
C. Kamiscioglu,
M. Kamiscioglu,
J. Kawada,
J. H. Kim,
S. H. Kim,
N. Kitagawa,
B. Klicek,
K. Kodama,
M. Komatsu,
U. Kose,
I. Kreslo,
A. Lauria,
J. Lenkeit,
A. Ljubicic,
A. Longhin,
P. Loverre,
A. Malgin,
M. Malenica,
G. Mandrioli,
T. Matsuo,
V. Matveev,
N. Mauri,
E. Medinaceli,
A. Meregaglia,
M. Meyer,
S. Mikado,
P. Monacelli,
M. C. Montesi,
K. Morishima,
M. T. Muciaccia,
N. Naganawa,
T. Naka,
M. Nakamura,
T. Nakano,
Y. Nakatsuka,
K. Niwa,
S. Ogawa,
N. Okateva,
A. Olshevsky,
T. Omura,
K. Ozaki,
A. Paoloni,
B. D. Park,
I. G. Park,
L. Pasqualini,
A. Pastore,
L. Patrizii,
H. Pessard,
C. Pistillo,
D. Podgrudkov,
N. Polukhina,
M. Pozzato,
F. Pupilli,
M. Roda,
H. Rokujo,
T. Roganova,
G. Rosa,
I. Rostovtseva,
O. Ryazhskaya,
O. Sato,
Y. Sato,
A. Schembri,
I. Shakiryanova,
T. Shchedrina,
A. Sheshukov,
H. Shibuya,
T. Shiraishi,
G. Shoziyoev,
S. Simone,
M. Sioli,
C. Sirignano,
G. Sirri,
M. Spinetti,
L. Stanco,
N. Starkov,
S. M. Stellacci,
M. Stipcevic,
P. Strolin,
S. Takahashi,
M. Tenti,
F. Terranova,
V. Tioukov,
S. Tufanli,
P. Vilain,
M. Vladimirov,
L. Votano,
J. L. Vuilleumier,
G. Wilquet,
B. Wonsak,
C. S. Yoon,
Y. Zaitsev,
S. Zemskova,
A. Zghiche
Apr 24 2014
physics.insdet
hepex
The long baseline neutrino oscillation experiment OPERA is searching for $\nu_{\tau}$ appearance in the CNGS beam of $\nu_{\mu}$. The task of the two muon spectrometers of the OPERA detector is to clarify the signature of a muonic $\tau$ decay ($\mu^{}$) and to reduce background originating from charmed particles produced in $\nu_{\mu}$ interactions ($\mu^{+}$). Based on geometric considerations a method called angular matching method is developed which allows to improve the charge sign determination. In a realistic beam Monte Carlo simulation it is shown that the fraction of misidentified muon charges can be reduced by 39%. A first estimation of the fraction of misidentified muon charges with tracks crossing one spectrometer is presented and compared with real data. Furthermore the potential of the new method is demonstrated as it can lead to an improvement of one order of magnitude concerning the fraction of misidentified muon charges.

In this paper we study a fully discrete SemiLagrangian approximation of a second order Mean Field Game system, which can be degenerate. We prove that the resulting scheme is well posed and, if the state dimension is equals to one, we prove a convergence result. Some numerical simulations are provided, evidencing the convergence of the approximation and also the difference between the numerical results for the degenerate and nondegenerate cases.

The use of the YangMills gradient flow in stepscaling studies of lattice QCD is expected to lead to results of unprecedented precision. Step scaling is usually based on the Schrödinger functional, where time ranges over an interval [0,T] and all fields satisfy Dirichlet boundary conditions at time 0 and T. In these calculations, potentially important sources of systematic errors are boundary lattice effects and the infamous topologyfreezing problem. The latter is here shown to be absent if Neumann instead of Dirichlet boundary conditions are imposed on the gauge field at time 0. Moreover, the expectation values of gaugeinvariant local fields at positive flow time (and of other well localized observables) that reside in the center of the spacetime volume are found to be largely insensitive to the boundary lattice effects.

This paper presents the FPGA hardware design of a turbo decoder for the cdma2000 standard. The work includes a study and mathematical analysis of the turbo decoding process, based on the MAXLogMAP algorithm. Results of decoding for a packet size of two hundred fifty bits are presented, as well as an analysis of area versus performance, and the key variables for hardware design in turbo decoding.

Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set and vectorvalued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems.

We consider the problem of secure communications in a MIMO setting in the presence of an adversarial jammer equipped with $n_j$ transmit antennas and an eavesdropper equipped with $n_e$ receive antennas. A multiantenna transmitter, equipped with $n_t$ antennas, desires to secretly communicate a message to a multiantenna receiver equipped with $n_r$ antennas. We propose a transmission method based on artificial noise and linear precoding and a twostage receiver method employing beamforming. Under this strategy, we first characterize the achievable secrecy rates of communication and prove that the achievable secure degreesoffreedom (SDoF) is given by $d_s = n_r  n_j$ in the perfect channel state information (CSI) case. Second, we consider quantized CSI feedback using Grassmannian quantization of a function of the direct channel matrix and derive sufficient conditions for the quantization bit rate scaling as a function of transmit power for maintaining the achievable SDoF $d_s$ with perfect CSI and for having asymptotically zero secrecy rate loss due to quantization. Numerical simulations are also provided to support the theory.

We revisit the notion of particlevortex duality in abelian theories of complex scalar fields coupled to gauge fields, formulating the duality as a transformation at the level of the path integral. This transformation is then made symmetric and cast as a selfduality that maps the original theory into itself with the role of particles and vortices interchanged. After defining the transformation for a pure ChernSimons gauge theory, we show how to embed it into (a sector of) the $(2+1)$dimensional ABJM model, and argue that this duality can be understood as being related to 4dimensional Maxwell duality in the $AdS_{4}\times\mathbb{CP}^{3}$ bulk.

Determination of the coronal electron density by the inversion of whitelight polarized brightness (pB) measurements by coronagraphs is a classic problem in solar physics. An inversion technique based on the spherically symmetric geometry (Spherically Symmetric Inversion, SSI) was developed in the 1950s, and has been widely applied to interpret various observations. However, to date there is no study about uncertainty estimation of this method. In this study we present the detailed assessment of this method using a threedimensional (3D) electron density in the corona from 1.5 to 4 Rsun as a model, which is reconstructed by tomography method from STEREO/COR1 observations during solar minimum in February 2008. We first show in theory and observation that the spherically symmetric polynomial approximation (SSPA) method and the Van de Hulst inversion technique are equivalent. Then we assess the SSPA method using synthesized pB images from the 3D density model, and find that the SSPA density values are close to the model inputs for the streamer core near the plane of the sky (POS) with differences generally less than a factor of two or so; the former has the lower peak but more spread in both longitudinal and latitudinal directions than the latter. We estimate that the SSPA method may resolve the coronal density structure near the POS with angular resolution in longitude of about 50 degrees. Our results confirm the suggestion that the SSI method is applicable to the solar minimum streamer (belt) as stated in some previous studies. In addition, we demonstrate that the SSPA method can be used to reconstruct the 3D coronal density, roughly in agreement with that by tomography for a period of low solar activity. We suggest that the SSI method is complementary to the 3D tomographic technique in some cases, given that the development of the latter is still an ongoing research effort.

Star formation can be triggered by compression from wind or supernova driven shock waves that sweep over molecular clouds. Because these shocks will likely contain processed elements, triggered star formation has been proposed as an explanation for short lived radioactive isotopes (SLRI) in the Solar System. Previous studies have tracked the triggering event to the earliest phases of collapse and have focused on the shock properties required for both successful star formation and mixing of SLRI's. In this paper, we use Adaptive Mesh Refinement (AMR) simulation methods, including sink particles, to simulate the full collapse and subsequent evolution of a stable BonnorEbert sphere subjected to a shock and postshock wind. We track the flow of the cloud material after a star (a sink particle) has formed. For nonrotating clouds we find robust triggered collapse and little bound circumstellar material remaining around the postshock collapsed core. When we add initial cloud rotation we observe the formation of disks around the collapsed core which then interact with the postshock flow. Our results indicate that these circumstellar disks are massive enough to form planets and are longlived, in spite of the ablation driven by postshock flow ram pressure. As a function of the initial conditions, we also track the time evolution of the accretion rates and particle mixing between between the ambient wind and cloud material. The latter is maximized for cases of highest mach number.

Firstprinciples prediction of lattice thermal conductivity $\kappa_L$ of strongly anharmonic crystals is a longstanding challenge in solid state physics. Making use of recent advances in information science, we propose a systematic and rigorous approach to this problem, compressive sensing lattice dynamics (CSLD). Compressive sensing is used to select the physically important terms in the lattice dynamics model and determine their values in one shot. Nonintuitively, high accuracy is achieved when the model is trained on firstprinciples forces in quasirandom atomic configurations. The method is demonstrated for Si, NaCl, and Cu$_{12}$Sb$_4$S$_{13}$, an earthabundant thermoelectric with strong phononphonon interactions that limit the roomtemperature $\kappa_L$ to values near the amorphous limit.

The onset of a solar eruption is formulated here as either a magnetic catastrophe or as an instability. Both start with the same equation of force balance governing the underlying equilibria. Using a toroidal flux rope in an external bipolar or quadrupolar field as a model for the currentcarrying flux, we demonstrate the occurrence of a fold catastrophe by loss of equilibrium for several representative evolutionary sequences in the stable domain of parameter space. We verify that this catastrophe and the torus instability occur at the same point; they are thus equivalent descriptions for the onset condition of solar eruptions.

The exchangedriven contribution to the magnetoelectric susceptibility $\hat\alpha$ is formulated using a microscopic model Hamiltonian coupling the spin degrees of freedom to lattice displacements and electric field, which may be constructed from firstprinciples data. Electronic and ionic contributions are sorted out, and the latter is resolved into a sum of contributions from different normal modes. If intrasublattice spin correlations can be neglected, the longitudinal component $\alpha_\parallel$ becomes proportional to the product of magnetic susceptibility and sublattice magnetization in accordance with Rado's phenomenological model. As an illustration, the method is applied to analyze the temperature dependence of the longitudinal magnetoelectric susceptibility of Cr$_2$O$_3$ using firstprinciples calculations and the quantum pair cluster approximation for magnetic thermodynamics. A substantial electronic contribution is found, which is opposite to the ionic part. The sensitivity of the results to the Hubbard $U$ parameter and the sources of error are studied. It is also found that nonHeisenberg interactions are too weak to account for the sign change of $\alpha_\parallel$ in Cr$_2$O$_3$.

The observation of Ising quasiparticles is a signatory feature of the hidden order phase of URu$_2$Si$_2$. In this paper we discuss its nature and the strong constraints it places on current theories of the hidden order. In the hastatic theory such anisotropic quasiparticles are naturally described described by resonant scattering between halfinteger spin conduction electrons and integerspin Ising moments. The hybridization that mixes states of different Kramers parity is spinorial; its role as an symmetrybreaking order parameter is consistent with optical and tunnelling probes that indicate its sudden development at the hidden order transition. We discuss the microscopic origin of hastatic order, identifying it as a fractionalization of three body boundstates into integer spin fermions and halfinteger spin bosons. After reviewing key features of hastatic order and their broader implications, we discuss our predictions for experiment and recent measurements. We end with challenges both for hastatic order and more generally for any theory of the hidden order state in URu$_2$Si$_2$.

The existence of the cosmic ray Halo in our Galaxy has been discussed for more than half a century. If it is real it could help to explain some puzzling features of the cosmic ray flux: its small radial gradient, nearly perfect isotropy and the low level of the fine structure in the energy spectra of the various particles. All these features could be understood if: (a) the Halo has a big size (b) cosmic rays in the Halo have a unform spatial distribution and (c) the cosmic ray density in the Halo is comparable or even higher than that in the Galactic Disk. The main topic of the paper concerns the present status of the anisotropy and a model for its formation. In our model the extremely small amplitude of the dipole anisotropy is due to the dilution of the anisotropy in the Disk by the dominating isotropic cosmic rays from the Halo. Some minor deviations from complete isotropy in the subPeV and PeV energy regions point out to the possible contribution of the Single Source with the phase of its first harmonic opposite to the phase produced by the Disk.

We present a threeloop model of neutrino mass whose mostgeneral Lagrangian possesses a softlybroken accidental $Z_2$ symmetry. In the limit that a single parameter vanishes, $\lambda\rightarrow0$, the $Z_2$ symmetry becomes exact and the model contains a stable darkmatter candidate. However, even for finite $\lambda\ll1$, longlived dark matter is possible, giving a unified solution to the neutrino mass and dark matter problems that does not invoke a new symmetry. Taken purely as a neutrino mass model, the new physics can be at the TeV scale. When dark matter is incorporated, however, only a singlet scalar can remain this light, though the dark matter can be tested in directdetection experiments.

Compressive displays are an emerging technology exploring the codesign of new optical device configurations and compressive computation. Previously, research has shown how to improve the dynamic range of displays and facilitate highquality light field or glassesfree 3D image synthesis. In this paper, we introduce a new multimode compressive display architecture that supports switching between 3D and high dynamic range (HDR) modes as well as a new superresolution mode. The proposed hardware consists of readilyavailable components and is driven by a novel splitting algorithm that computes the pixel states from a target highresolution image. In effect, the display pixels present a compressed representation of the target image that is perceived as a single, high resolution image.

Short baseline neutrino oscillation experiments have shown hints of the existence of additional sterile neutrinos in the eV mass range. Such sterile neutrinos are incompatible with cosmology because they suppress structure formation unless they can be prevented from thermalising in the early Universe. Here we present a novel scenario in which both sterile neutrinos and dark matter are coupled to a new, light pseudoscalar. This can prevent thermalisation of sterile neutrinos and make dark matter sufficiently selfinteracting to have an impact on galactic dynamics and possibly resolve some of the known problems with the standard cold dark matter scenario. Our model singles out a dimensionless coupling strength for both sterile neutrinos and dark matter in the range $g_s \sim g_d \sim 10^{5}$ and predicts a dark matter particle mass in the MeV range.

The highest energy (contained) neutrino events in ICECUBE did provide within three years as many as $35$ (tenshundred TeV) energetic signals and additional $3$ rarest PeV cascades shower. Their flux exceeded the atmospheric noise and favored the birth of a long waited extraterrestrial $\nu$ Astronomy. Indeed their flavor showed a fast revolutionary transition from $\nu_{\mu}$ atmospheric rule at TeV toward a cascade ($\nu_{e}$,$\nu_{\tau}$) tracks at few tens TeV up to PeV energy. The majority ($29$) of all these events are indeed spherical cascade shower and their exact timing in shining provided an approximate $\nu$ arrival direction. However their map are inconclusive: such a wide angle $\mp10^{\circ}$ spread signal, their paucity do not allow yet to define any meaningfull source correlation. The rarest $9$ muon tracks did not offer any sharp clustering nor even any clear overlapping within known sources. Larger sample of signals and a more accurate directionality is needed. We recently suggested the highest energy (tensTeV) muon crossing along the ICECUBE, mostly at horizons or upcoming, as the ideal tool able to reveal soon such clustering or even any narrow angle pointing to known (IR, X, Radio or $\gamma$) sources or selfcorrelation in rare doublet or triplet: a hope for a meaningful $\nu$ Astronomy. Any unexpected smeared muons clustering along galactic sources might be also signals of UHECR radioactive decay in flight. Within three years of ICECUBE data all the uncontained crossing highest energy muons above few tens TeV maybe several dozens, possibly around $60$, mostly enhanced along horizontal edges (but also reinforced in upgoing events) painting , known sources andor self correlating in doublets or rarest triplet, solving finally the UHE neutrino source puzzle.

We study the ddimensional CahnHilliard equation on the flat torus in a parameter regime in which the system size is large and the mean value is closebut not too closeto 1. We are particularly interested in a quantitative description of the energy landscape in the case in which the uniform state is a local but not global energy minimizer. In this setting, we derive a sharp leading order estimate of the size of the energy barrier surrounding the uniform state. A sharp interface version of the proof leads to a $\Gamma$limit of the rescaled energy gap between a given function and the uniform state.

Traits that increase individual fitness dominate in a population, thus it is puzzling when an organism exhibits behavior apparently counter to its own best interests. Here we consider nine potential explanations for submaximal resource use by a parasitoid wasp. In this hostparasitoid system, virtually all hosts are found by the wasp on a landscape scale. Yet only about a third of the eggs in any host egg cluster are parasitized. In spite of strong intraspecific competition, resources are consistently left unexploited. We first propose, test, and reject a series of systemspecific simple physiological constraints that might limit host exploitation, such as egg limitation of the wasp, and physical inaccessibility of some hosts. We then consider classical mechanisms of individual behavioral restraint, including prudent predation and bethedging, which fail as explanations because the wasp lives as a large and genetically wellmixed population. We next build a simple optimal foraging model with and without 1) a penalty for multiple parasitism of the same host, and 2) the potential benefit of avoiding densitydependent hyperparasitism. Since there is strong competition for host egg clusters, the simple idea of search time of optimal foraging theory, is modified by strength of competition, increasing with the number of individuals monitoring host egg clusters. In the end, the optimal foraging model explains submaximal resource use and deterrent marking behavior of the parasitoid when there is a cost to superparasitism and the search time to find the next egg cluster is short. We tested all speciesspecific and other general mechanisms that have support in this system or related systems, and find that all but optimal foraging fail to explain both the evolution and maintenance of individual behavioral constraint.

The derivative expansion approach to the calculation of the interaction between two surfaces, is a generalization of the proximity force approximation, a technique of widespread use in different areas of physics. The derivative expansion has so far been applied to seemingly unrelated problems in different areas; it is our principal aim here to present the approach in its full generality. To that end, we introduce an unified setting, which is independent of any particular application, provide a formal derivation of the derivative expansion in that general setting, and study some its properties. With a view on the possible application of the derivative expansion to other areas, like nuclear and colloidal physics, we also discuss the relation between the derivative expansion and some timehonoured uncontrolled approximations used in those contexts. By putting them under similar terms as the derivative expansion, we believe that the path is open to the calculation of next to leading order corrections also for those contexts. We also review some results obtained within the derivative expansion, by applying it to different concrete examples and highlighting some important points.

We introduce a novel approach to study the longitudinal hydrodynamic expansion of the quarkgluon fluid created in heavyion collisions. It consists of two steps: First, we apply the maximum entropy method to reconstruct the freezeout surface from experimentally measured particle distribution. We then take the output of the reconstruction as the "initial" condition to evolve the system back in time by solving the 1+1 ideal hydrodynamic equations analytically, using the method of Khalatnikov and Landau. We find an approximate Bjorkenlike plateau in the energy density vs rapidity profile at the early times, which shrinks with time as the boundary shocks propagate inward. In Bjorken frame, the fluid velocity is close to zero within the plateau, as in the Bjorken solution, but increases outside the plateau. The results carry implications for fully numerical hydrodynamic simulations as well as models of heavyion collisions based on gaugegravity duality.

We perform direct numerical simulations of quasistatic magnetohydrodynamic turbulence, and compute various energy transfers including ringtoring and conical energy transfers, and energy fluxes of the perpendicular and parallel components of the velocity field. We show that the rings with higher polar angles transfer energy to ones with lower polar angles. For large interaction parameters, the dominant energy transfer takes place near the equator (polar angle $\theta \approx \frac{\pi}{2}$). The energy transfers are local both in wavenumbers and angles. The energy flux of the perpendicular component is from higher to lower wavenumbers (inverse), while that of the parallel component is from lower to higher wavenumers (forward). Our results are consistent with earlier results that indicate twodimensional threecomponent (2D3C) nature of quasistatic magnetohydrodynamic (MHD) flows.

We consider a mixed system of unstable Majorana fermions in a general paritynonconserving theory and renormalize its propagator matrix to all orders in the pole scheme, in which the squares of the renormalized masses are identified with the complex pole positions and the wavefunction renormalization (WFR) matrices are adjusted in compliance with the LehmannSymanzikZimmermann reduction formalism. In contrast to the case of unstable Dirac fermions, the WFR matrices of the in and out states are uniquely fixed, while they again bifurcate in the sense that they are no longer related by pseudoHermitian conjugation. We present closed analytic expressions for the renormalization constants in terms of the scalar, pseudoscalar, vector, and pseudovector parts of the unrenormalized selfenergy matrix, which is computable from the oneparticleirreducible Feynman diagrams of the flavor transitions, as well as their expansions through two loops. In the case of stable Majorana fermions, the wellknown oneloop results are recovered.

Lucky imaging is a technique for high resolution astronomical imaging at visible wavelengths, utilising medium sized ground based telescopes in the 24m class. The technique uses high speed, low noise cameras to record short exposures which may then be processed to minimise the deleterious effects of atmospheric turbulence upon image quality. The key statement of this thesis is as follows; that lucky imaging is a technique which now benefits from sufficiently developed hardware and analytical techniques that it may be effectively used for a wide range of astronomical imaging purposes at medium sized ground based telescopes. Furthermore, it has proven potential for producing extremely high resolution imaging when coupled with adaptive optics systems on larger telescopes. I develop this argument using new mathematical analyses, simulations, and data from the latest Cambridge lucky imaging instrument.

Reachability analysis of hybrid systems has been used as a safety verification tool to assess offline whether the state of a system is capable of remaining within a designated safe region for a given time horizon. Although it has been applied to stochastic hybrid systems, little work has been done on the equally important problem of reachability under incomplete or noisy measurements of the state. Further, there are currently no computational methods or results for reachability analysis of partially observable discrete time stochastic hybrid systems. We provide the first numerical results for solving this problem, by drawing upon existing literature on continuous state partially observable Markov decision processes (POMDPs). We first prove that the value function for the reachability problem (with a multiplicative cost structure) is piecewiselinear and convex, just as for discrete state POMDPs with an additive cost function. Because of these properties, we are able to extend existing pointbased value iteration techniques to the reachability problem, demonstrating its applicability on a benchmark temperature regulation problem.

One problem facing players of competitive games is negative, or toxic, behavior. League of Legends, the largest eSport game, uses a crowdsourcing platform called the Tribunal to judge whether a reported toxic player should be punished or not. The Tribunal is a two stage system requiring reports from those players that directly observe toxic behavior, and human experts that review aggregated reports. While this system has successfully dealt with the vague nature of toxic behavior by majority rules based on many votes, it naturally requires tremendous cost, time, and human efforts. In this paper, we propose a supervised learning approach for predicting crowdsourced decisions on toxic behavior with largescale labeled data collections; over 10 million user reports involved in 1.46 million toxic players and corresponding crowdsourced decisions. Our result shows good performance in detecting overwhelmingly majority cases and predicting crowdsourced decisions on them. We demonstrate good portability of our classifier across regions. Finally, we estimate the practical implications of our approach, potential cost savings and victim protection.

We consider the Euler equations on $\mathbb{T}^d$ with analytic data and prove lower bounds for the radius of spatial analyticity $\epsilon(t)$ of the solution using a new method based on inductive estimates in standard Sobolev spaces. Our results are consistent with similar previous results proved by Kukavica and Vicol, but give a more precise dependence of $\epsilon(t)$ on the radius of analyticity of the initial datum.

We study the problem of finding the most mutually correlated arms among many arms. We show that adaptive arms sampling strategies can have significant advantages over the nonadaptive uniform sampling strategy. Our proposed algorithms rely on a novel correlation estimator. The use of this accurate estimator allows us to get improved results for a wide range of problem instances.

Results from UBVRI optical photometric observations of the premain sequence star V350 Cep during the period 20042014 are presented in the paper. The star is discovered in 1977 due to the remarkable increase in brightness with more than 5 mag (R). In the previous studies V350 Cep is considered a potential member of the groups of FUors or EXors eruptive variables. Our data suggest that during the period of observations the star keeps its maximum brightness with low amplitude photometric variations. Our conclusion is that V350 Cep is probably an intermediate object between FUors and EXors, similar to V1647 Ori.

The linearization of nonlinear systems is an important digital enhancement technique. In this paper, a realtime capable post and prelinearization method for the widely applicable timevarying discretetime Volterra series is presented. To this end, an alternative view on the Volterra series is established, which enables the utilization of certain modified linear iterative methods for linearization. For one particular linear iterative method, the Richardson iteration, the corresponding post and prelinearizers are discussed in detail. It is motivated that the resulting algorithm can be regarded as a generalization of some existing methods. Furthermore, a simply verifiable condition for convergence is presented, which allows the straightforward evaluation of applicability. The proposed method is demonstrated by means of the linearization of a timevarying nonlinear amplifier, which highlights its capability of linearizing significantly distorted signals, illustrates the advantageous convergence behavior, and depicts its robustness against modeling errors.

We introduce a class o.d.e.'s that generalizes to polymatrix games the replicator equations on symmetric and asymmetric games. We also introduce a new class of Poisson structures on the phase space of these systems, and characterize the corresponding subclass of Hamiltonian polymatrix replicator systems. This extends known results for symmetric and asymmetric replicator systems.

Let $P_1,P_2,P_3$ be three given points in $\mathbf{R}^2$,and $P$ be an arbitrary point in $\mathbf{R}^2$.The classical Fermat's problem to Torricelli asks for the location of the point $P$ such that $PP_1+PP_2+PP_3$ is a minimum.There exist several elegant geometrical solutions in the literature.In this note,we consider finding the Fermat point by using methods in advanced calculus.The main tools we use are the extreme value theorem,Fermat's theorem,and the intermediate value theorem.

We prove analogues of the fundamental theorem of algebraic Ktheory for the second and third homology of SL_2 over an infinite field k. The statements involve MilnorWitt Ktheory and scissors congruence groups. We use these results to calculate the lowdimensional homology of SL_2 of Laurent polynomials over certain fields.

We study the fluctuations of random surfaces on a twodimensional discrete torus. The random surfaces we consider are defined via a nearestneighbor pair potential which we require to be twice continuously differentiable on a (possibly infinite) interval and infinity outside of this interval. No convexity assumption is made and we include the case of the socalled hammock potential, when the random surface is uniformly chosen from the set of all surfaces satisfying a Lipschitz constraint. Our main result is that these surfaces delocalize, having fluctuations whose variance is at least of order $\log n$, where $n$ is the side length of the torus. We also show that the expected maximum of such surfaces is of order at least $\log n$. The main tool in our analysis is an adaptation to the lattice setting of an algorithm of Richthammer, who developed a variant of a MerminWagnertype argument applicable to hardcore constraints. We rely also on the reflection positivity of the random surface model. The result answers a question mentioned by Brascamp, Lieb and Lebowitz 1975 on the hammock potential and a question of Velenik 2006.

Priced timed games (PTGs) are twoplayer zerosum games played on the infinite graph of configurations of priced timed automata where two players take turns to choose transitions in order to optimize cost to reach target states. Bouyer et al. and Alur, Bernadsky, and Madhusudan independently proposed algorithms to solve PTGs with nonnegative prices under certain divergence restriction over prices. Brihaye, Bruyère, and Raskin later provided a justification for such a restriction by showing the undecidability of the optimal strategy synthesis problem in the absence of this divergence restriction. This problem for PTGs with one clock has long been conjectured to be in polynomial time, however the current best known algorithm, by Hansen, IbsenJensen, and Miltersen, is exponential. We extend this picture by studying PTGs with both negative and positive prices. We refine the undecidability results for optimal strategy synthesis problem, and show undecidability for several variants of optimal reachability cost objectives including reachability cost, timebounded reachability cost, and repeated reachability cost objectives. We also identify a subclass with bivalued pricerates and give a pseudopolynomial (polynomial when prices are nonnegative) algorithm to partially answer the conjecture on the complexity of oneclock PTGs.

We have measured the meridional motions of the magnetic elements in the Sun's surface layers since 1996 and find systematic and substantial variations. In general the meridional flow speed is fast at cycle minima and slow at cycle maxima. We find that these systematic variations are characterized by a weakening of the meridional flow on the poleward sides of the active (sunspot) latitudes. This can be interpreted as a inflow toward the sunspot zones superimposed on a more general poleward meridional flow profile. We also find variations in the meridional flow which vary from cycletocycle. The meridional flow was slower at both the minimum and maximum of cycle 23 compared to similar phases of cycles 21, 22, and 24. Models of the magnetic flux transport by a variable meridional flow suggest that it can significantly modulate the size and timing of the following sunspot cycle through its impact on the Sun's polar magnetic fields. We suggest that the meridional flow variations observed in cycle 23 contributed to the weak polar fields at the end of the cycle which then produced a weak cycle 24 and the extraordinary cycle 23/24 minimum.

QCD sum rules are commonly used to predict the characteristics of groundstate hadrons. We demonstrate that twopoint sum rules for the decay constants of charmed ($D^{(*)},D_s^{(*)}$) and bottom ($B^{(*)},B_s^{(*)}$) mesons can also be modified to estimate the decay constants of the first radial excitations, $D^{(*)'},D_s^{(*)'}$ and $B^{(*)'},B_s^{(*)'}$, respectively, provided the masses of these resonances are used as an input. For the radially excited charmed mesons we use available experimental data, whereas the masses of analogous bottom mesons are estimated from the heavyquark limit. The decay constants predicted for the radial excitations of heavylight pseudoscalar and vector mesons are systematically smaller than those of the ground states and we comment on the possible origin of this difference. Our results can be used in the sum rule calculations of heavytolight form factors and in the factorization approximations for nonleptonic $B$meson decays where the decay constants of charmed mesons enter as input parameters.

Telescope Array Collaboration,
R.U. Abbasi,
M. Abe,
T.AbuZayyad,
M. Allen,
R. Anderson,
R. Azuma,
E. Barcikowski,
J.W. Belz,
D.R. Bergman,
S.A. Blake,
R. Cady,
M.J. Chae,
B.G. Cheon,
J. Chiba,
M. Chikawa,
W.R. Cho,
T. Fujii,
M. Fukushima,
T. Goto,
et al (107)
W. Hanlon,
Y. Hayashi,
N. Hayashida,
K. Hibino,
K. Honda,
D. Ikeda,
N. Inoue,
T. Ishii,
R. Ishimori,
H. Ito,
D. Ivanov,
C.C.H. Jui,
K. Kadota,
F. Kakimoto,
O. Kalashev,
K. Kasahara,
H. Kawai,
S. Kawakami,
S. Kawana,
K. Kawata,
E. Kido,
H.B. Kim,
J.H. Kim,
J.H. Kim,
S. Kitamura,
Y. Kitamura,
V. Kuzmin,
Y.J. Kwon,
J. Lan,
S.I. Lim,
J.P. Lundquist,
K. Machida,
K. Martens,
T. Matsuda,
T. Matsuyama,
J.N. Matthews,
M. Minamino,
K. Mukai,
I. Myers,
K. Nagasawa,
S. Nagataki,
T. Nakamura,
T. Nonaka,
A. Nozato,
S. Ogio,
J. Ogura,
M. Ohnishi,
H. Ohoka,
K. Oki,
T. Okuda,
M. Ono,
A. Oshima,
S. Ozawa,
I.H. Park,
M.S. Pshirkov,
D.C. Rodriguez,
G. Rubtsov,
D. Ryu,
H. Sagawa,
N. Sakurai,
A.L. Sampson,
L.M. Scott,
P.D. Shah,
F. Shibata,
T. Shibata,
H. Shimodaira,
B.K. Shin,
J.D. Smith,
P. Sokolsky,
R.W. Springer,
B.T. Stokes,
S.R. Stratton,
T.A. Stroman,
T. Suzawa,
M. Takamura,
M. Takeda,
R. Takeishi,
A. Taketa,
M. Takita,
Y. Tameda,
H. Tanaka,
K. Tanaka,
M. Tanaka,
S.B. Thomas,
G.B. Thomson,
P. Tinyakov,
I. Tkachev,
H. Tokuno,
T. Tomida,
S. Troitsky,
Y. Tsunesada,
K. Tsutsumi,
Y. Uchihori,
S. Udo,
F. Urban,
G. Vasiloff,
T. Wong,
R. Yamane,
H. Yamaoka,
K. Yamazaki,
J. Yang,
K. Yashiro,
Y. Yoneda,
S. Yoshida,
H. Yoshii,
R. Zollinger,
Z. Zundel
Apr 24 2014
astroph.HE
We have searched for intermediatescale anisotropy in the arrival directions of ultrahighenergy cosmic rays with energies above 57~EeV in the northern sky using data collected over a 5 year period by the surface detector of the Telescope Array experiment. We report on a cluster of events that we call the hotspot, found by oversampling using 20$\degr$radius circles. The hotspot has a statistical significance of 5.1$\sigma$, and is centered at ${\rm R.A.}=146\fdg7$, ${\rm Dec.}=43\fdg2$. The position of the hotspot is about 19$\degr$ off of the supergalactic plane. The probability of a cluster of events of 5.1$\sigma$ significance, found using 20$\degr$ radius oversampling, appearing by chance in an isotropic cosmicray sky is calculated to be 1.4$\times$10$^{4}$ (3.6$\sigma$).

Vector sets with optimal coherence according to the Welch bound cannot exist for all pairs of dimension and cardinality. If such an optimal vector set exists, it is an equiangular tight frame and represents the solution to a Grassmannian line packing problem. Best Complex Antipodal Spherical Codes (BCASCs) are the best vector sets with respect to the coherence. By extending methods used to find best spherical codes in the realvalued Euclidean space, the proposed approach aims to find BCASCs, and thereby, a complexvalued vector set with minimal coherence. There are many applications demanding vector sets with low coherence. Examples are not limited to several techniques in wireless communication or to the field of compressed sensing. Within this contribution, existing analytical and numerical approaches for coherence optimization of complexvalued vector spaces are summarized and compared to the proposed approach. The numerically obtained coherence values improve previously reported results. The drawback of increased computational effort is addressed and a faster approximation is proposed which may be an alternative for time critical cases.

In Aristotelian logic, categorical propositions are divided in Universal Affirmative, Universal Negative, Particular Affirmative and Particular Negative. Possible relations between two of the mentioned type of propositions are encoded in the square of opposition. The square expresses the essential properties of monadic first order quantification which, in an algebraic approach, may be represented taking into account monadic Boolean algebras. More precisely, quantifiers are considered as modal operators acting on a Boolean algebra and the square of opposition is represented by relations between certain terms of the language in which the algebraic structure is formulated. This representation is sometimes called the modal square of opposition. Several generalizations of the monadic first order logic can be obtained by changing the underlying Boolean structure by another one giving rise to new possible interpretations of the square.

In 1990 Bender, Canfield and McKay gave an asymptotic formula for the number of connected graphs on $[n]$ with $m$ edges, whenever $n$ and the nullity $mn+1$ tend to infinity. Asymptotic formulae for the number of connected $r$uniform hypergraphs on $[n]$ with nullity $t=(r1)mn+1$, where $m$ is the number of edges, were proved by Karoński and Łuczak for the case $t=o(\log n/\log\log n)$, and Behrisch, CojaOghlan and Kang for $t=\Theta(n)$. Here we prove such a formula for any $r\ge 3$ fixed, and any $t=t(n)$ satisfying $t=o(n)$ and $t\to\infty$ as $n\to\infty$. This leaves open only the (much simpler) case $t/n\to\infty$, which we will consider in future work. Our approach is probabilistic. Let $H^r_{n,p}$ denote the random $r$uniform hypergraph on $[n]$ in which each edge is present independently with probability $p$. Let $L_1$ and $M_1$ be the numbers of vertices and edges in the largest component of $H^r_{n,p}$. We prove a local limit theorem giving an asymptotic formula for the probability that $L_1$ and $M_1$ take any given pair of values within the `typical' range, for any $p=p(n)$ in the supercritical regime, i.e., when $p=p(n)=(1+\epsilon(n))(r2)!n^{r+1}$ where $\epsilon^3n\to\infty$ and $\epsilon\to 0$; our enumerative result then follows easily. Taking as a starting point the recent joint central limit theorem for $L_1$ and $M_1$, we use smoothing techniques to show that `nearby' pairs of values arise with about the same probability, leading to the local limit theorem. Behrisch et al used similar ideas in a very different way, that does not seem to work in our setting. Independently, Sato and Wormald have recently proved the special case $r=3$ of our result, with an additional restriction on $t$. They use complementary, more enumerative methods, which seem to have a more limited scope, but to give additional information when they do work.

We review and formulate results concerning logconcavity and stronglogconcavity in both discrete and continuous settings. We show how preservation of logconcavity and strongly logconcavity on $\mathbb{R}$ under convolution follows from a fundamental monotonicity result of Efron (1969). We provide a new proof of Efron's theorem using the recent asymmetric BrascampLieb inequality due to Otto and Menz (2013). Along the way we review connections between logconcavity and other areas of mathematics and statistics, including concentration of measure, logSobolev inequalities, convex geometry, MCMC algorithms, Laplace approximations, and machine learning.

We study the topology of the space of smooth codimension one foliations on a closed 3manifold. We regard this space as the space of integrable plane fields included in the space of all smooth plane fields. It has been known since the late 60's that every plane field can be deformed continuously to an integrable one, so the above inclusion induces a surjective map between connected components. We prove that this map is actually a bijection.

We investigate a class of models with a massless fermion and a selfinteracting scalar field with the Yukawa interaction between these two fields. The models considered are formulated in two and four spacetime dimensions and possess a discrete symmetry. We calculate the chiral condensates are calculated in the oneloop approximation. We show that the models have a phase transitions as a function of the coupling constants.

J. M. Paley,
M. D. Messier,
R. Raja,
U. Akgun,
D. M. Asner,
G. Aydin,
W. Baker,
P. D. Barnes,
Jr.,
T. Bergfeld,
L. Beverly,
V. Bhatnagar,
B. Choudhary,
E. C. Dukes,
F. Duru,
G. J. Feldman,
A. Godley,
N. Graf,
J. Gronberg,
E. Gulmez,
et al (37)
Y. O. Gunaydin,
H. R. Gustafson,
E. P. Hartouni,
P. Hanlet,
M. Heffner,
D. M. Kaplan,
O. Kamaev,
J. Klay,
A. Kumar,
D. J. Lange,
A. Lebedev,
J. Ling,
M. J. Longo,
L. C. Lu,
C. Materniak,
S. Mahajan,
H. Meyer,
D. E. Miller,
S. R. Mishra,
K. Nelson,
T. Nigmanov,
A. Norman,
Y. Onel,
A. Penzo,
R. J. Peterson,
D. Rajaram,
D. Ratnikov,
C. Rosenfeld,
H. Rubin,
S. Seun,
A. Singh,
N. Solomey,
R. A. Soltz,
Y. Torun,
K. Wilson,
D. M. Wright,
Q. K. Wu
Apr 24 2014
hepex
nuclex
The fixedtarget MIPP experiment, Fermilab E907, was designed to measure the production of hadrons from the collisions of hadrons of momenta ranging from 5 to 120 GeV/c on a variety of nuclei. These data will generally improve the simulation of particle detectors and predictions of particle beam fluxes at accelerators. The spectrometer momentum resolution is between 3 and 4%, and particle identification is performed for particles ranging between 0.3 and 80 GeV/c using $dE/dx$, timeofflight and Cherenkov radiation measurements. MIPP collected $1.42 \times10^6$ events of 120 GeV Main Injector protons striking a target used in the NuMI facility at Fermilab. The data have been analyzed and we present here charged pion yields per protonontarget determined in bins of longitudinal and transverse momentum between 0.5 and 80 GeV/c, with combined statistical and systematic relative uncertainties between 5 and 10%.