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--- author: - 'Lihua You [^1] Man Yang [^2] Jinxi Li[^3] Liyong Ren[^4]' date: | [School of Mathematical Sciences, South China Normal University,\ Guangzhou, 510631, P.R. China\ ]{} title: 'Spectrum of a class of matrices and its applications[^5]' --- .2cm [**Abstract** ]{} In this paper, we give the spec...
--- abstract: 'We propose that quantum physics is the continuous approximation of a more fundamental, discrete graph theory (theory X). Accordingly, the Euclidean transition amplitude $Z$ provides a partition function for geometries over the graph, which is characterized topologically by the difference matrix and sourc...
--- abstract: 'The famous Pósa conjecture states that every graph of minimum degree at least $2n/3$ contains the square of a Hamilton cycle. This has been proved for large $n$ by Komlós, Sarközy and Szemerédi. Here we prove that if $p \ge n^{-1/2+{\varepsilon}}$, then asymptotically almost surely, the binomial random g...
--- abstract: | We present updated measurements of -violating asymmetries in the decays $\Bz\to\Dstarpm\Dmp$ and $\Bz\to\Dp\Dm$ using $(383\pm 4) \times 10^{6} \BB$ pairs collected by the  detector at the PEP-II $B$ factory. We determine the time-integrated  asymmetry ${\mathcal{A}}_{\Dstarpm\Dmp}=0.12\pm 0.06\...
--- abstract: 'The spectrum from the black hole X-ray transient GRO J1655-40. obtained using the $Chandra$ High Energy Transmission Grating (HETG) in 2005 is notable as a laboratory for the study of warm absorbers, and for the presence of many lines from odd-$Z$ elements between Na and Co (and Ti and Cr) not previously...
--- abstract: 'The generalised longitudinal susceptibility $\chi({\bf q}, \omega)$ affords a sensitive measure of the spatial and temporal correlations of magnetic monopoles in spin ice. Starting with the monopole model, a mean field expression for $\chi({\bf q}, \omega)$ is derived as well as expressions for the mean ...
--- abstract: 'In SAR domain many application like classification, detection and segmentation are impaired by speckle. Hence, despeckling of SAR images is the key for scene understanding. Usually despeckling filters face the trade-off of speckle suppression and information preservation. In the last years deep learning ...
--- abstract: 'The $l$^th^ partial barycentric subdivision is defined for a $(d-1)$-dimensional simplicial complex $\Delta$ and studied along with its combinatorial, geometric and algebraic aspects. We analyze the behavior of the $f$- and $h$-vector under the $l$^th^ partial barycentric subdivision extending previous w...
The nature of ordering in spin glasses below the transition temperature, $T_c$, remains a controversial issue. Two theories have been extensively discussed: the “droplet theory” proposed by Fisher and Huse[@fh] (see also Refs. ), and the replica symmetry breaking (RSB) theory of Parisi[@parisi; @mpv; @by]. An important...
--- abstract: 'Many problems in areas as diverse as recommendation systems, social network analysis, semantic search, and distributed root cause analysis can be modeled as pattern search on labeled graphs (also called “heterogeneous information networks” or HINs). Given a large graph and a query pattern with node and e...
--- abstract: 'G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity. A few years later, Ch. Stegall succeeded to drop from the original proof a deep lemma of S. Simons. Here, we rewrite the condensed argument of Ch. S...
--- author: - 'P. Noterdaeme' - 'P. Petitjean' - 'R. Srianand' bibliography: - 'hih2.bib' title: 'The elusive $\rightarrow$H$_2$ transition in high-$z$ damped Lyman-$\alpha$ systems' --- 2[$\rm H_2$]{} Introduction ============ The atomic to molecular hydrogen transition is a prerequisite process for star formation ...
--- abstract: 'One of the unsolved issues in the quantum gravity comes from the Wheeler-DeWitt equation, which is the second order functional derivative equation with non-linear term. In this paper, we introduce a method to solve the Wheeler-DeWitt equation with the static restriction introduced in this paper. Usually ...
--- author: - 'The DAE$\delta$ALUS Collaboration$^*$' title: | A Study of Detector Configurations\ for the DUSEL CP Violation Searches\ Combining LBNE and DAE$\delta$ALUS\ --- ------------------------------------------------------------------------ [*Abstract:*]{} This study presents comparative CP sensi...
--- abstract: 'This paper is devoted to investigate the exact solutions of Bianchi type $I$ spacetime in the context of $f(R,T)$ gravity [@fRT1], where $f(R,T)$ is an arbitrary function of Ricci scalar $R$ and trace of the energy momentum tensor $T$. For this purpose, we find two exact solutions using the assumption of...
--- abstract: | We study the roots of the generalised Hermite polynomials $H_{m,n}$ when both $m$ and $n$ are large. We prove that the roots, when appropriately rescaled, densely fill a bounded quadrilateral region, called the elliptic region, and organise themselves on a deformed rectangular lattice, as was numeri...
--- abstract: 'In this paper, a nonconforming finite element method has been proposed and analyzed for the von Kármán equations that describe bending of thin elastic plates. Optimal order error estimates in broken energy and $H^1$ norms are derived under minimal regularity assumptions. Numerical results that justify th...
--- abstract: 'We explore heavy-element nucleosynthesis in the explosion of massive stars which are triggered by a quark–hadron phase transition during the early post-bounce phase of core-collapse supernovae. The present study is based on general-relativistic radiation hydrodynamics simulations with three-flavor Boltzm...
--- abstract: 'We perform local measurements of both the shear rate and the particle fraction to study viscous resuspension in non-Brownian suspensions. A suspension of PMMA spherical particles dispersed in a lighter Newtonian fluid (*Triton X100*) is sheared in a vertical Couette cell. The vertical profiles of the par...
--- author: - | David Eppstein Michael T. Goodrich Nodari Sitchinava\ Department of Computer Science\ University of California, Irvine\ [ {eppstein, goodrich, nodari}(at)ics.uci.edu]{} bibliography: - 'localize.bib' title: Guard Placement For Wireless Localization --- Introduction ============ Natural...
--- abstract: 'There is a big difference between quasi-galois closed in the eprint (arXiv:0907.0842) and pseudo-galois in the sense of Suslin-Voevodsky. It is nontrivial.' address: 'School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, People’s Republic of China' author: - 'Feng-Wen An' title: 'a...
--- abstract: 'The number of scientific fields that regularly collect data that are spatio-temporal continues to grow. An intuitive feature of this type of data is that measurements taken on experimental units near each other in time and space tend to be similar. As such, many methods developed to accommodate spatio-te...
--- author: - Shiyin Shen - 'M. Argudo-Fernández' - Li Chen - Xiaoyan Chen - Shuai Feng - Jinliang Hou - Yonghui Hou - Peng Jiang - Yipeng Jing - Xu Kong - Ali Luo - Zhijian Luo - Zhengyi Shao - Tinggui Wang - Wenting Wang - Yuefei Wang - Hong Wu - 'Xue-Bing Wu' - Haifeng Yang - Ming Yang - Fangting Yuan - Hailong Yuan...
--- abstract: 'Caldeira-Leggett model of reservoir is generalized to a reservoir modeled by a continuum of real Klein-Gordon fields, instead of harmonic oscillators. A quantum Langevin type dissipative equation is obtained for the scalar field. The susceptibility of the medium is defined in terms of the reservoir Green...
--- abstract: 'We investigate the method for the reconstruction of $f(R)$ gravity models both from the background evolution observations and from the large scale structure measurements. Due to the lack of the first principles, one needs to rely on the observations to build the $f(R)$ gravity models. We show that the ge...
--- abstract: 'The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of nearest-neighbor coupled quantum harmonic oscillators interacting with a therma...
--- abstract: 'We show that a semibounded Toeplitz quadratic form is closable in the space $\ell^2({\Bbb Z}_{+})$ if and only if its entries are Fourier coefficients of an absolutely continuous measure. We also describe the domain of the corresponding closed form. This allows us to define semibounded Toeplitz operators...
--- abstract: | We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that the low-energy physics can be kept fixed when one changes the ultraviolet cutoff, provided appropriate changes are made to the bare coupling constants in the Lagrangian. We fi...
--- abstract: | We investigate the behavior near zero of the integrated density of states $\ell$ for random Schrödinger operators $\Phi(-\Delta) + V^{\omega}$ in $L^2(\mathbb R^d)$, $d {\geqslant}1$, where $\Phi$ is a complete Bernstein function such that for some $\alpha \in (0,2]$, one has $ \Phi(\lambda) \asymp ...
--- abstract: 'We present the results of an identification campaign of unassociated sources from the $Fermi$ Large Area Telescope 3FHL catalog. Out of 200 unidentified sources, we selected 110 sources for which archival $Swift$-XRT observations were available, 52 of which were found to have exactly one X-ray counterpar...
--- abstract: 'Recently, the frustrated XY model for spins-1/2 on the honeycomb lattice has attracted a lot of attention in relation with the possibility to realize a chiral spin liquid state. This model is relevant to the physics of some quantum magnets. Using the flexibility of ultra-cold atoms setups, we propose an ...
--- abstract: 'A seminal result of Agler proves that the natural de Branges-Rovnyak kernel function associated to a bounded analytic function on the bidisk can be decomposed into two shift-invariant pieces. Agler’s decomposition is non-constructive—a problem remedied by work of Ball-Sadosky-Vinnikov, which uses scatter...
--- abstract: 'The small object argument is a transfinite construction which, starting from a set of maps in a category, generates a weak factorisation system on that category. As useful as it is, the small object argument has some problematic aspects: it possesses no universal property; it does not converge; and it do...
--- abstract: 'As a crucial component in task-oriented dialog systems, the Natural Language Generation (NLG) module converts a dialog act represented in a semantic form into a response in natural language. The success of traditional template-based or statistical models typically relies on heavily annotated data, which ...
--- abstract: 'The collective decay of excitons from initial Bose-Einstein condensate state is investigated theoretically. As practically more interesting case we consider excitons of the yellow series in the semiconductor cuprous oxide where we have collective photon and phonon assisted decay of excitons. It is shown ...
--- abstract: 'We consider a composite convex minimization problem associated with regularized empirical risk minimization, which often arises in machine learning. We propose two new stochastic gradient methods that are based on stochastic dual averaging method with variance reduction. Our methods generate a sparser so...
--- abstract: 'The NA60 experiment has measured low-mass muon pair production in In-In collisions at 158 A GeV with unprecedented precision. We show that this data is reproduced very well by a dynamical model with parameters scaled from fits to measurements of hadronic transverse mass spectra and Hanbury-Brown and Twis...
--- abstract: 'Superconducting qubits often show signatures of coherent coupling to microscopic two-level fluctuators (TLFs), which manifest themselves as avoided level crossings in spectroscopic data. In this work we study a phase qubit, in which we induce Rabi oscillations by resonant microwave driving. When the qubi...
=6.5in =0.03in =0.7cm =9.0in [**Convergence Rates of Finite Difference Stochastic Approximation Algorithms [^1]**]{} Liyi Dai\ Army Research Office\ Research Triangle Park, NC 27703\ liyi.dai.civ@mail.mil\ **Abstract** stochastic approximation, Kiefer-Wolfowitz algorithm, mirror descent algorithm, finite-differenc...
--- abstract: 'We examine the correlation of the limit price with the order book, when a limit order comes. We analyzed the Rebuild Order Book of Stock Exchange Electronic Trading Service, which is the centralized order book market of London Stock Exchange. As a result, the limit price is broadly distributed around the...
--- abstract: | We explore potential strategies for testing General Relativity via the coherent motions of galaxies. Our position at $z=0$ provides the reference point for distance measures in cosmology. By contrast, the Cosmic Microwave Background at $z \simeq 1100$ acts as the point of reference for the growth of...
--- abstract: | In this paper the superheating of electron plasma by femtosecond laser pulses is investigated. With Heaviside thermal equation (*Lasers in Engineering*, **12,** (2002), p. 17) the generation of superhot electrons is described. It is shown that in hot electron plasma (i.e. with electron energies $>5$...
--- author: - 'A. Gozar, Seiki Komiya, Yoichi Ando' - 'G. Blumberg' title: 'Magnetic and Charge Correlations in : Raman Scattering Study' --- The Phase Diagram and Structural Properties of the High Temperature Superconductor =================================================================================== is one o...
--- abstract: | We describe here a new method to estimate copula measure. From $N$ observations of two variables $X$ and $Y$, we draw a huge number $m$ of subsamples (size $n<N$), and we compute the joint ranks in these subsamples. Then, for $p,q\leq n$, the density in $(p/n,q/n)$ is estimated as $ \frac{1}{mn } \s...
[**High-Energy Neutrino Astronomy:**]{} Christian Spiering$^{\dag}$\ [email:`christian.spiering@desy.de` ]{} **Abstract** [With the identification of a diffuse flux of astrophysical (“cosmic”) neutrinos in the TeV-PeV energy range, IceCube has opened a new window to the Universe. However, the corresponding cosmic lan...
--- abstract: 'The Sculptor dwarf spheroidal galaxy has a giant branch with a significant spread in colour, symptomatic of an intrinsic age/metallicity spread. We present here a detailed study of the Sculptor giant branch and horizontal branch morphology, combining new near-infrared photometry from the Cambridge InfraR...
--- abstract: 'We give an expression for number of points for the family of Dwork K3 surfaces $$X_{\lambda}^4: \hspace{.1in} x_1^4+x_2^4+x_3^4+x_4^4=4\lambda x_1x_2x_3x_4$$ over finite fields of order $q\equiv 1\pmod 4$ in terms of Greene’s finite field hypergeometric functions. We also develop hypergeometric point cou...
--- abstract: 'We formulate a theory based on the time-dependent Ginzburg Landau (TDGL) theory and Newtonian vortex dynamics to study the transverse acousto-electric response of a type-II superconductor with Abrikosov vortex lattice. When exposed to a transverse acoustic wave, Cooper pairs emerge from the the moving at...
--- abstract: 'The theory presented here, cosmological general relativity, uses a Riemannian four-dimensional presentation of gravitation in which the coordinates are those of Hubble, i.e. distances and velocity rather than the traditional space and time. We solve the field equations and show that there are three possi...
--- abstract: 'Making use of coherence and entanglement as metrological quantum resources allows to improve the measurement precision from the shot-noise- or quantum limit to the Heisenberg limit. Quantum metrology then relies on the availability of quantum engineered systems that involve controllable quantum degrees o...
--- abstract: | Let $\mathscr{M}_{(2,1)}(N)$ denotes the infimum of the size of the largest sum-free subset of any set of $N$ positive integers. An old conjecture in additive combinatorics asserts that there are a constant $c=c(2,1)$ and a function $\omega(N)\to\infty$ as $N\to\infty$, such that $cN+\omega(N)<\math...
--- abstract: 'Forming a three dimensional view of the Universe is a long-standing goal of astronomical observations, and one that becomes increasingly difficult at high redshift. In this paper we discuss how tomography of the intergalactic medium (IGM) at $z\simeq 2.5$ can be used to estimate the redshifts of massive ...
--- abstract: | Given a family of graphs $\mathcal{F}$, we consider the $\mathcal{F}$-saturation game. In this game, two players alternate adding edges to an initially empty graph on $n$ vertices, with the only constraint being that neither player can add an edge that creates a subgraph that lies in $\mathcal{F}$. ...
--- abstract: 'In recent years, a significant amount of attention has been paid to solve partial differential equations (PDEs) by deep learning. For example, deep Galerkin method (DGM) uses the PDE residual in the least-squares sense as the loss function and a deep neural network (DNN) to approximate the PDE solution. ...
--- abstract: 'We apply the recently developed notion of complexity for field theory to a quantum quench through a critical point in $1\!+\!1$ dimensions. We begin with a toy model consisting of a quantum harmonic oscillator, and show that complexity exhibits universal scalings in both the slow and fast quench regimes....
--- abstract: 'In [@Sarria1], we derived representation formulae for spatially periodic solutions to the generalized, inviscid Proudman-Johnson equation and studied their regularity for several classes of initial data. The purpose of this paper is to extend these results to larger classes of functions including those h...
--- author: - 'Rishi Khatri,' - 'Rashid A. Sunyaev' bibliography: - 'cmbBB.bib' title: 'Creation of the CMB spectrum: precise analytic solutions for the blackbody photosphere' --- Introduction ============ There are several important events in the history of the Universe which provide the foundations for the standard...
--- abstract: 'We present a study of the spectral properties like the energy spectrum, the eigenmodes and density of states of a classical finite system of two-dimensional (2D) charged particles which are confined by a quadratic potential. Using the method of Newton optimization we obtain the ground state and the metas...
--- abstract: 'Light thermalised at room temperature in an optically pumped, dye-filled microcavity resembles a model system of non-interacting Bose-Einstein condensation in the presence of dissipation. We have experimentally investigated some of the steady-state properties of this unusual state of light and found feat...
--- abstract: 'Dust growth is often neglected when building models of protoplanetary disks due to its complexity and computational expense. However, it does play a major role in shaping the evolution of protoplanetary dust and planet formation. In this paper, we present a numerical model coupling 2-D hydrodynamic evolu...
--- abstract: 'Using the Optimal Filter Technique applied to Sloan Digital Sky Survey photometry, we have found extended tails stretching about $1^\circ$ (or several tens of half-light radii) from either side of the ultra-faint globular cluster Palomar 1. The tails contain roughly as many stars as does the cluster itse...
--- abstract: 'HH 900 is a peculiar protostellar outflow emerging from a small, tadpole-shaped globule in the Carina nebula. Previous H$\alpha$ imaging with *HST*/ACS showed an ionized outflow with a wide opening angle that is distinct from the highly collimated structures typically seen in protostellar jets. We presen...
addtoreset[equation]{}[section]{} [Perfect Lattice Perturbation Theory:\  \ A Study of the Anharmonic Oscillator]{} W. Bietenholz$^{\rm a}$ and T. Struckmann$^{\rm b}$ $^{\rm a}$ HLRZ c/o Forschungszentrum Jülich\ 52425 Jülich, Germany\ $^{\rm b}$ Physics Department\ University of Wuppertal\ D-42097 Wuppertal, Germ...
--- abstract: | Let $(X_n)$ be a sequence of integrable real random variables, adapted to a filtration $(\mathcal{G}_n)$. Define $$C_n=\sqrt{n}\,\bigl\{\frac{1}{n} \sum_{k=1}^nX_k-E(X_{n+1}\mid\mathcal{G}_n)\bigr\}\quad\text{and}\quad D_n=\sqrt{n}\,\bigl\{E(X_{n+1}\mid\mathcal{G}_n)-Z\bigr\}$$ where $Z$ is ...
--- abstract: 'The long-time relaxation of the average conductance in a 2D mesoscopic sample is studied within the method recently suggested by Muzykantskii and Khmelnitskii and based on a saddle-point approximation to the supermatrix $\sigma$–model. The obtained far asymptotics is in perfect agreement with the result ...
--- abstract: 'Let $U_\varepsilon(\g)$ be the standard simply–connected version of the Drinfeld–Jumbo quantum group at an odd m-th root of unity $\varepsilon$. De Concini, Kac and Proicesi observed that isomorphism classes of irreducible representations of $U_\varepsilon(\g)$ are parameterized by the conjugacy classes ...
--- abstract: 'This paper derives a population sizing relationship for genetic programming (GP). Following the population-sizing derivation for genetic algorithms in , it considers building block decision making as a key facet. The analysis yields a GP-unique relationship because it has to account for bloat and for the...
--- author: - | Brijnesh Jain and David Schultz\ Technische Universität Berlin, Germany\ e-mail: brijnesh.jain@gmail.com title: On the Existence of a Sample Mean in Dynamic Time Warping Spaces --- =1 #### Abstract. {#abstract. .unnumbered} The concept of sample mean in dynamic time warping (DTW) spaces h...
--- abstract: 'We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the form $f(-\Delta)$, describing an homogeneous Fermi gas. Under suitable assumptions on the interaction potential and on the mom...
--- abstract: 'In the framework of the Chern-Simons gravity proposed by Witten, a transition amplitude of a torus universe in 2+1 dimensional quantum gravity is computed. This amplitude has the desired properties as a probability amplitude of the quantum mechanics of a torus universe, namely, it has a peak on the “clas...
--- abstract: | [Let $(T,M)$ be a complete local domain containing the integers. Let $p_{1} \subseteq p_{2} \subseteq \cdots \subseteq p_{n}$ be a chain of nonmaximal prime ideals of $T$ such that $T_{p_{n}}$ is a regular local ring. We construct a chain of excellent local domains $A_{n} \subseteq A_{n-1} \subseteq...
--- abstract: 'In this work, the crack nucleation under fretting loading is investigated experimentally with a damage tolerant 2024 aluminium alloy. A new method is introduced to determine its condition with respect to all loading parameters including the number of fretting cycles. Further work deals with the predictio...
--- abstract: 'ANAIS (Annual Modulation with NaI’s) is an experiment planned to investigate seasonal modulation effects in the signal of galactic WIMPs using up to 107 kg of NaI(Tl) in the Canfranc Underground Laboratory (Spain). A prototype using one single crystal (10.7 kg) is being developed before the installation ...
--- author: - 'Vakhid A. Gani' - Aliakbar Moradi Marjaneh - Alidad Askari - Ekaterina Belendryasova - Danial Saadatmand date: 'Received: date / Revised version: date' title: 'Scattering of the double sine-Gordon kinks' --- [leer.eps]{} gsave 72 31 moveto 72 342 lineto 601 342 lineto 601 31 lineto 72 31 lineto showpage...
--- abstract: 'We study properties of a random walk in a generalized Sinai model (SM), in which a quenched random potential is a trajectory of a *fractional* Brownian motion with arbitrary Hurst parameter $H$, $0< H <1$, so that the random force field displays strong spatial correlations. In this case, the disorder-ave...
--- abstract: 'To any $n \times n$ Latin square $L$, we may associate a unique sequence of mutually orthogonal permutation matrices $P = P_1, P_2, ..., P_n$ such that $L = L(P) = \sum kP_k$. Brualdi and Dahl (2018) described a generalisation of a Latin square, called an *alternating sign hypermatrix Latin-like square (...
--- abstract: 'Double neutron star mergers are strong sources of gravitational waves. The upcoming advanced gravitational wave detectors are expected to make the first detection of gravitational wave bursts (GWBs) associated with these sources. Proposed electromagnetic counterparts of a GWB include a short GRB, an opti...
--- abstract: 'Some issues in inclusive and exclusive diffractive processes are discussed.' address: ' Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel' author: - 'Aharon Levy [^1]' title: 'Inclusive and exclusive diffraction: overview of the ...
--- abstract: 'We report the results of *(a)* extensive follow-up observations of the gamma-ray pulsar J1732$-$3131 that has been recently detected at decameter wavelengths, and *(b)* deep searches for counterparts of 9 other *radio-quiet* gamma-ray pulsars at 34 MHz, using the Gauribidanur radio telescope. No periodic...
--- abstract: 'In this article we consider a Fokker-Planck equation on ${\mathbb{R}}^d$ with a non-local, mass preserving perturbation. We first give a spectral analysis of the unperturbed Fokker-Planck operator in an exponentially weighted $L^2$-space. In this space the perturbed Fokker-Planck operator is an isospectr...
--- abstract: 'We introduce and study coordinate-wise powers of subvarieties of ${\mathbb{P}}^n$, i.e. varieties arising from raising all points in a given subvariety of ${\mathbb{P}}^n$ to the $r$-th power, coordinate by coordinate. This corresponds to studying the image of a subvariety of ${\mathbb{P}}^n$ under the q...
TIFR/TH/97-15\ NORDITA–97/31 P\ hep-ph/9705273\ \ [Paul Hoyer$^1$ and D.P. Roy$^2$]{}\ $^1$ Nordita, Blegdamsvej 17, DK-2100 Copenhagen, Denmark\ \[2mm\] $^2$ T.I.F.R., Homi Bhabha Road, Mumbai 400 005, India. Using an intrinsic parton model we estimate the rough shape and size of the intrinsic gluon component of the...
--- address: | ${}^a$University of California at San Diego, La Jolla, CA 92093-0319\ ${}^b$University of Kentucky, Lexington, KY 40506-0055 author: - 'COLIN MORNINGSTAR$^{a}$ and MIKE PEARDON$^{b}$' title: GLUEBALLS FROM IMPROVED LATTICE ACTIONS --- \#1\#2\#3\#4[[\#1]{} [**\#2**]{}, \#3 (\#4)]{} Glueballs a...
--- abstract: 'We compute the submodule of finite support of the tensor product of two modules $M$ and $N$ and estimate its length in terms of $ M$ and $N$. Also, we compute some higher local cohomology modules of tensor products.' author: - Mohsen Asgharzadeh title: finite support of tensor products --- Introduction ...
--- abstract: 'This paper is centered on the random graph generated by a Doeblin-type coupling of discrete time processes on a countable state space whereby when two paths meet, they merge. This random graph is studied through a novel subgraph, called a bridge graph, generated by paths started in a fixed state at any t...
--- abstract: 'We introduce two invariants called $\mathfrak{sl}(3)$ Khovanov module and pointed $\mathfrak{sl}(3)$ Khovanov homology for spatial webs (bipartite trivalent graphs). Those invariants are related to Kronheimer-Mrowka’s instanton invariants $J^\sharp$ and $I^\sharp$ for spatial webs by two spectral sequenc...
--- author: - 'Jean-Louis Loday' title: Dichotomy of the addition of natural numbers --- Introduction {#introduction .unnumbered} ============ In this paper the addition of integers is split into two operations which satisfy some relations. These relations are taken so that they split the associativity relation of ad...
--- abstract: 'We show how cosmological correlation functions of massless fields can be rewritten in terms of Minkowski correlation functions, by extracting symmetry-breaking operators from the cosmological correlators. This technique simplifies some cosmological calculations. Also, known properties of Minkowski correl...
--- abstract: 'A new explicitly correlated functional form for expanding the wave function of an $N$-particle system with arbitrary angular momentum and parity is presented. We develop the projection-based approach, numerically exploited in our previous work \[J. Chem. Phys. [**149**]{}, 184105 (2018)\], to explicitly ...
--- abstract: 'We establish the relationship among Nichols algebras, Nichols braided Lie algebras and Nichols Lie algebras. We prove two results: (i) Nichols algebra $\mathfrak B(V)$ is finite-dimensional if and only if Nichols braided Lie algebra $\mathfrak L(V)$ is finite-dimensional if there does not exist any $m$-i...
--- abstract: 'We examine Bousso’s covariant entropy bound conjecture in the context of radiation filled, spatially flat, Friedmann-Robertson-Walker models. The bound is violated near the big bang. However, the hope has been that quantum gravity effects would intervene and protect it. Loop quantum cosmology provides a ...
--- abstract: 'Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural ${\mathbb{C}}^*$-action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundle to the $\operatorname{Hom}$-complex of two chains, and prove that stability of the chains implies stability o...
--- author: - Takashi Hotta and Akira Shudo title: 'Chaos in Jahn-Teller Rattling' --- Recently, a peculiar magnetically robust heavy-electron phenomenon observed in Sm-based filled skutterudite compound [@Sanada] has triggered active investigations on cage-structure compounds, in which a guest ion contained in a cage...
--- abstract: 'The unique Steiner triple system of order $7$ has a point-block incidence graph known as the Heawood graph. Motivated by questions in combinatorial matrix theory, we consider the problem of constructing a faithful orthogonal representation of this graph, i.e., an assignment of a vector in $\mathbb C^d$ t...
--- author: - | First Author\ Affiliation / Address line 1\ Affiliation / Address line 2\ Affiliation / Address line 3\ [email@domain]{}\ Second Author\ Affiliation / Address line 1\ Affiliation / Address line 2\ Affiliation / Address line 3\ [email@domain]{}\ title: 'Diversity d...
--- abstract: 'The Riemann zeta function $\zeta(s)$ is defined as the infinite sum $\sum_{n=1}^\infty n^{-s}$, which converges when ${\rm Re}\,s>1$. The Riemann hypothesis asserts that the nontrivial zeros of $\zeta(s)$ lie on the line ${\rm Re}\,s= {\mbox{$\textstyle{\frac{1}{2}}$}}$. Thus, to find these zeros it is n...
--- abstract: 'We study the stability of hexaquark systems containing two heavy quarks and four light quarks within a simple quark model. No bound or metastable state is found. The reason stems on a delicate interplay between chromoelectric and chromomagnetic effects. Our calculation provides also information about ant...
--- abstract: 'We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such problems when the alternative hypothesis adheres to certain axioms. In this case we find the threshold rate, the optimal error and strong converse expo...
--- abstract: 'Quantum spin systems with strong geometric restrictions give rise to rich quantum phases such as valence bond solids and spin liquid states. However, the geometric restrictions often hamper the application of sophisticated numerical approaches. Based on the stochastic series expansion method, we develop ...
--- abstract: 'We sharpen the construction of representation space in the paper “Principal Series Representations of Infinite Dimensional Lie Groups II: Construction of Induced Representations”. We show that the principal series representation spaces constructed there, are completions of spaces of sections of Hilbert b...