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--- abstract: 'It is known that the greatest common divisor of two Fibonacci numbers is again a Fibonacci number. It is called the *strong divisibility property*. However, this property does not hold for every second order sequence. In this paper we study the generalized Fibonacci polynomials and classify them in two t...
--- abstract: 'J. Przytycki has established a connection between the Hochschild homology of an algebra $A$ and the chromatic graph homology of a polygon graph with coefficients in $A$. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra. In this pap...
--- address: - | $^{1}$Institut für Theoretische Physik, Universität Wien\ Boltzmanngasse 5, A-1090 Wien, Austria - | $^{2}$Max-Planck-Institut für Mathematik in den Naturwissenschaften\ Inselstraße 22-26, D-04103 Leipzig, Germany title: | Renormalisation of $\phi^4$-theory on noncommutative $\mathb...
--- abstract: 'In this paper we study the extension of structure group of principal bundles with a reductive algebraic group as structure group on smooth projective varieties defined over algebraically closed field of positive characteristic. Our main result is to show that given a representation $\rho$ of a reductive ...
--- abstract: 'We investigate spin and charge dynamics of a quantum dot of phosphorus atoms coupled to a radio-frequency single-electron transistor (rf-SET) using full counting statistics. We show how the magnetic field plays a role in determining the bunching or anti-bunching tunnelling statistics of the donor dot and...
--- abstract: 'The quantum evolution equation of Loop Quantum Cosmology (LQC) – the quantum Hamiltonian constraint – is a difference equation. We relate the LQC constraint equation in vacuum Bianchi I separable (locally rotationally symmetric) models with an integrable differential-difference nonlinear Schrödinger type...
--- abstract: 'By combining the postulates of macrorealism with Bell locality, we derive a qualitatively different hybrid inequality that avoids two loopholes that commonly appear in Leggett-Garg and Bell inequalities. First, locally invasive measurements can be used, which avoids the “clumsiness” Leggett-Garg inequali...
--- abstract: 'We study active Brownian particles as a paradigm for genuine non-equilibrium phase transitions. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a modification of sampling finite-size fluctuations and successfully test this method fo...
--- author: - 'I. Minchev, B. Famaey, A. C. Quillen, W. Dehnen, M. Martig, A. Siebert' date: Accepted 15 October 2012 title: Radial migration does little for Galactic disc thickening --- Introduction {#sec:intro} ============ Most local galaxies are observed to host a thick disc component (e.g., @comeron11), includin...
--- abstract: 'Recent angle-resolved photoemission (ARPES) experiments have indicated that the electronic dispersion in some of the cuprates possesses an extended saddle point near the Fermi level which gives rise to a density of states that diverges like a power law instead of the weaker logarithmic divergence usually...
--- address: - 'Annette A’Campo-Neuen, Mathematisches Institut, Universität Basel, Rheinsprung 2, CH-4051 Basel, Switzerland' - 'Norbert A’Campo, Mathematisches Institut, Universität Basel, Rheinsprung 2, CH-4051 Basel, Switzerland' - 'Lizhen Ji, University of Michigan, Department of Mathematics, 2074 East Hall, 530 Ch...
--- author: - '*Albert Clop, Renjin Jiang, Joan Mateu & Joan Orobitg*' title: | **Flows for non-smooth vector fields\ with subexponentially integrable divergence** --- In this paper, we study flows associated to Sobolev vector fields with subexponentially integrable divergence. Our approach is based on the tr...
--- abstract: 'We study the finite temperature transition in QCD with two flavors of dynamical fermions at a pseudoscalar pion mass of about 350 MeV. We use lattices with temporal extent of $N_t$=8, 10 and 12. For the first time in the literature a continuum limit is carried out for several observables with dynamical o...
--- author: - | Julius von Kügelgen[^1] [^2] $^{1,2}$, Ivan Ustyuzhaninov $^{3}$,\ **Peter Gehler[^3] $^{4}$, Matthias Bethge$^{3,4}$, Bernhard Schölkopf$^{1,4}$**\ $^{1}$Max Planck Institute for Intelligent Systems Tübingen, Germany\ $^{2}$Department of Engineering, University of Cambridge, United King...
--- abstract: '$^{th}$ birthday.' author: - 'Nicolas Boizot and Jean-Paul Gauthier [^1]' title: Motion Planning for Kinematic systems --- Optimal control, Subriemannian geometry, robotics, motion planning Introduction ============ Here we present the main lines of a theory of motion planning for kinematic systems, w...
--- abstract: 'The determination of non-spherical angular momentum amplitudes in nucleons at long ranges (low $Q^{2}$), was accomplished through the $p(\vec{e},e''p)\pi^0$ reaction in the $\Delta$ region at $Q^2=0.060$, 0.127, and 0.200 [(GeV/c)$^2$ ]{}at the Mainz Microtron (MAMI) with an accuracy of 3%. The results f...
--- abstract: 'We analyze the accuracy of quantum phase gates acting on “0-$\pi$ qubits” in superconducting circuits, where the gates are protected against thermal and Hamiltonian noise by continuous-variable quantum error-correcting codes. The gates are executed by turning on and off a tunable Josephson coupling betwe...
--- abstract: 'Some Poisson structures do admit resolutions by symplectic manifolds of the same dimension. We give examples and simple conditions under which such resolutions can not exist.' address: - 'Laboratoire d’Analyse Numerique et d’Optimisation et de Statistique L.A.N.O.S, Université Badji Mokhtar -Annaba- B.P....
--- abstract: 'Cachazo and Strominger recently proposed an extension of the soft-graviton theorem found by Weinberg. In addition, they proved the validity of their extension at tree level. This was motivated by a Virasoro symmetry of the gravity $S$-matrix related to BMS symmetry. As shown long ago by Weinberg, the lea...
--- abstract: 'We survey the results and the methods in the theory of universality for various zeta and $L$-functions, obtained in these forty years after the first discovery of the universality for the Riemann zeta-function by Voronin.' author: - Kohji Matsumoto title: 'A survey on the theory of universality for zeta ...
--- author: - 'Z.-Y. Lin' - 'I.-L. Lai' - 'C.-C. Su' - 'W.-H. Ip' - 'J.-C. Lee' - 'J.-S., Wu' - 'J.-B. Vincent' - 'F. La Forgia' - 'H. Sierks' - 'C. Barbieri' - 'P. L. Lamy' - 'R. Rodrigo' - 'D. Koschny' - 'H. Rickman' - 'H. U. Keller' - 'J. Agarwal' - 'M. F. A’Hearn' - 'M. A. Barucci' - 'J.–L. Bertaux' - 'I. Bertini' ...
--- abstract: 'We describe a new class of subsampling techniques for CNNs, termed multisampling, that significantly increases the amount of information kept by feature maps through subsampling layers. One version of our method, which we call checkered subsampling, significantly improves the accuracy of state-of-the-art...
--- abstract: 'abstract.tex' address: | Department of Mathematics\ University of Toronto\ Toronto Ontario M5S 2E4\ Canada author: - 'Dror Bar-Natan' date: 'First edition Nov. 15, 2015, this edition Nov. 17, 2015. Electronic version and related files at [@WKO4], [\\web](\web). The edition may be older'...
--- abstract: 'Generating text from graph-based data, such as Abstract Meaning Representation (AMR), is a challenging task due to the inherent difficulty in how to properly encode the structure of a graph with labeled edges. To address this difficulty, we propose a novel model that encodes different but complementary p...
--- abstract: 'The Kondo effect in superconductors is frequently investigated using the local quasiparticle density of states as sole bath characteristics, i.e., the presence of anomalous propagators is ignored. Here we point out that this treatment is [*exact*]{} for a number of situations, including point-like impuri...
--- abstract: 'We introduce a new geometric flow called the chord shortening flow which is the negative gradient flow for the length functional on the space of chords with end points lying on a fixed submanifold in Euclidean space. As an application, we give a simplified proof of a classical theorem of Lusternik and Sc...
--- abstract: 'We consider the inverse problem for the $2$-dimensional weighted local Radon transform $R_m[f]$, where $f$ is supported in $y\geq x^2$ and $R_m[f](\xi,\eta)=\int f(x, \xi x + \eta) m(\xi, \eta, x){\,\text{d}}x$ is defined near $(\xi,\eta)=(0,0)$. For weight functions satisfying a certain differential equ...
--- abstract: 'We provide a new way to bound the security of quantum key distribution using only two high-level, diagrammatic features of quantum processes: the compositional behavior of complementary measurements and the essential uniqueness of purification. We begin by demonstrating a proof in the simplest case, wher...
--- author: - | Subhabrata Majumdar[^1]\ and\ Snigdhansu Chatterjee[^2]\ University of Minnesota, Minneapolis, MN, USA bibliography: - 'arxiv-main.bib' title: On Weighted Multivariate Sign Functions --- **Abstract**: Multivariate sign functions are often used for robust estimation and inference. We pro...
--- abstract: 'Nanophotonics offers a promising range of applications spanning from the development of efficient solar cells to quantum communications and biosensing. However, the ability to efficiently couple fluorescent emitters with nanostructured materials requires to probe light-matter interactions at subwavelengt...
--- abstract: 'The Transiting Exoplanet Survey Satellite will conduct a 2-year long wide-field survey searching for transiting planets around bright stars. Many TESS discoveries will be amenable to mass characterization via ground-based radial velocity measurements with any of a growing suite of existing and anticipate...
--- abstract: 'We solve the twisted conjugacy problem on Thompson’s group $F$. We also exhibit orbit undecidable subgroups of ${\mathrm{Aut}}(F)$, and give a proof that ${\mathrm{Aut}}(F)$ and ${\mathrm{Aut}}_+(F)$ are orbit decidable provided a certain conjecture on Thompson’s group $T$ is true. By using general crite...
--- abstract: 'We prove that the number of overpseudoprimes to base 2 not exceeding $x$ does not exceed $x^{\frac 3 4}(1+o(1) ).$' address: | Department of Mathematics\ Ben-Gurion University of the Negev\ Beer-Sheva 84105, Israel. e-mail:shevelev@bgu.ac.il author: - Vladimir Shevelev title: An Upper Estimat...
--- abstract: 'In this paper we extent the previously published DALI-approximation for likelihoods to cases in which the parameter dependency is in the covariance matrix. The approximation recovers non-Gaussian likelihoods, and reduces to the Fisher matrix approach in the case of Gaussianity. It works with the minimal ...
--- abstract: 'Given a birational parameterization $\phi$ of an algebraic surface ${\mathscr S}$ in the projective space ${\mathbb P}^3$, the purpose of this paper is to investigate the sets of points on ${\mathscr S}$ whose preimage consists in $k$ or more points, counting multiplicities. They are described explicitly...
--- abstract: 'Although observations of circumstellar shock interactions around supernovae are generally consistent with a $\rho\propto r^{-2}$ wind surrounding the progenitor star, this is not true for GRB (gamma-ray burst) afterglows. However, GRB 991208 and GRB 000301C may be consistent with wind interaction if the ...
--- abstract: | Implicit feedback, such as user clicks, is a major source of supervision for learning to rank (LTR) model estimation in modern retrieval systems. However, the inherent bias in such feedback greatly restricts the quality of the learnt ranker. Recent advances in unbiased LTR leverage Inverse Propensit...
--- abstract: 'Long-range contributions to the three-nucleon force that have been recently worked out in chiral effective field theory at next-to-next-to-next-to-leading order are for the first time included in the triton and the doublet nucleon-deuteron scattering length calculations. The strengths of the two short-ra...
--- abstract: 'Using a n-dimensional general spacetime and variable extra dimensional spacetime, we achieve its 4-dimensional Einstein equation and Friedman equations, and discover a general dual relation between the scale factor $a(t)$ of our universe and the scale factor $B(t)$ of extra dimensions. Based on the dual ...
--- abstract: 'Let $\mathcal{I}_{d_1,d_2}$ and $\mathcal{C}_{d_1,d_2}$ be the algebras of joint invariants and joint covariants of the two binary forms of degrees $d_1$ and $d_2.$ Formulas for computation of the Poincaré series $\mathcal{PI}_{d_1,d_2}(z),$ $ \mathcal{PC}_{d_1,d_2}(z)$ of the algebras is found. By using...
--- abstract: | For positive integers $m$ and $r$, one can easily show there exist integers $N$ such that for every map ${\Delta}:\{1,2,\cdots,N\} \to \{1,2,\cdots,r\}$ there exist $2m$ integers $$x_1 < \cdots < x_m < y_1 < \cdots < y_m$$ which satisfy: 1. $\hspace{81 pt}{\Delta}(x_1) = \cdots = {\Delta}(...
--- abstract: '[We study the framework of hierarchical soft terms, in which the first two generations of squarks and sleptons are heavier than the rest of the supersymmetric spectrum. This scheme gives distinctive predictions for the pattern of flavor violations, which we compare to the case of nearly degenerate squark...
--- abstract: 'When an unbiased estimator of the likelihood is used within a Metropolis–Hastings chain, it is necessary to trade off the number of Monte Carlo samples used to construct this estimator against the asymptotic variances of averages computed under this chain. Many Monte Carlo samples will typically result i...
--- abstract: 'The estimation of multivariate GARCH time series models is a difficult task mainly due to the significant overparameterization exhibited by the problem and usually referred to as the “curse of dimensionality". For example, in the case of the VEC family, the number of parameters involved in the model grow...
--- abstract: 'Topological superfluid is an exotic state of quantum matter that possesses a nodeless superfluid gap in the bulk and Andreev edge modes at the boundary of a finite system. Here, we study a multi-orbital superfluid driven by attractive $s$-wave interaction in a rotating optical lattice. Interestingly, we ...
--- abstract: 'In this paper, the necessary and sufficient conditions for Matsumoto metrics $F=\frac{\alpha^2}{\alpha-\beta}$ to be Einstein are given. It is shown that if the length of $\beta$ with respect to $\alpha$ is constant, then the Matsumoto metric $F$ is an Einstein metric if and only if $\alpha$ is Ricci-fla...
--- abstract: 'We obtain a new bound on the value of Peskin-Takeuchi $S$ parameter in a wide class of bottom-up holographic models for technicolor. Namely, we show that weakly coupled holographic description in these models implies $S\gg 0.2$. Our bound is in conflict with the results of electroweak precision measureme...
--- abstract: 'Adversarial attacks are considered a potentially serious security threat for machine learning systems. Medical image analysis (MedIA) systems have recently been argued to be particularly vulnerable to adversarial attacks due to strong financial incentives. In this paper, we study several previously unexp...
--- abstract: 'Weighted least squares fitting to a database of quantum mechanical calculations can determine the optimal parameters of empirical potential models. While algorithms exist to provide optimal potential parameters for a given fitting database of structures and their structure property functions, and to esti...
--- abstract: 'In graph theory a partition of the vertex set of a graph is called equitable if for all pairs of cells all vertices in one cell have an equal number of neighbours in the other cell. Considering the implications for the adjacency matrix one may generalize that concept as a block partition of a complex squ...
--- abstract: 'We implement an infinite iteration scheme of Poincaré-Dulac normal form reductions to establish an energy estimate on the one-dimensional cubic nonlinear Schrödinger equation (NLS) in $C_tL^2({\mathbb{T}})$, without using any auxiliary function space. This allows us to construct weak solutions of NLS in ...
--- abstract: 'We present a constructive proof of Ky Fan’s combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of $S^n$ that contain a flag of hemispheres. As a consequence, we produce a constructive proof of Tucker’s lemma that holds for a larger class of triang...
--- abstract: | In this article, a Leslie-Gower Holling type III predator-prey model with disease in predator has been developed from both biological and mathematical point of view. The total population is divided into three classes, namely, prey, susceptible predator and infected predator. The local stability, glo...
--- abstract: | The world is so full of a number of things\ I’m sure we shall all be as happy as kings.\ Robert Louis Stevenson, [*A Child’s Garden of Verses*]{} address: 'Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218' author: - Jack Morava date: 23 August 2011 title: 'The ...
--- abstract: 'We present Nematus, a toolkit for Neural Machine Translation. The toolkit prioritizes high translation accuracy, usability, and extensibility. Nematus has been used to build top-performing submissions to shared translation tasks at WMT and IWSLT, and has been used to train systems for production environm...
--- bibliography: - 'Refs.bib' --- =15.5pt [**From Wires to Cosmology**]{} [Mustafa A. Amin$^{\clubsuit,\blacklozenge, \bigstar}$ and Daniel Baumann$^{\bigstar, \spadesuit}$]{} *$^\clubsuit$ Physics & Astronomy Department, Rice University, 6100 Main Street, Houston, U.S.A.* *$^ \blacklozenge$ Kavli Institute for C...
--- abstract: | Ordering dynamics of self-propelled particles in an inhomogeneous medium in two-dimensions is studied. We write coarse-grained hydrodynamic equations of motion for density and polarisation fields in the presence of an external random disorder field, which is quenched in time. The strength of inhomog...
--- abstract: 'We study on the third quantization of a Kaluza-Klein toy model. In this model time ($x$) is defined by the scale factor of universe, and the space coordinate ($y$) is defined by the ratio of the scales of the ordinary space and the internal space. We calculate the number density of the universes created ...
--- abstract: 'A doped Mott insulator exhibits peculiar properties associated with its singular sign structure. As a case study, we investigate the ground state and excitations of finite-size Heisenberg loops doped with one hole by exact diagonalization. We find that there appear a series of quantum critical points (QC...
[On the Monodromy at Infinity ]{}\ [of a Polynomial Map, II]{}\ $\ $\ [R. García López[^1] and A. Némethi[^2]]{} Universidad de Barcelona, Dept. de Algebra y Geometría. Gran Via, 585, 08007 Barcelona, Spain. The Ohio State University, 231 West 18th Avenue, Columbus OH 43210, USA. [**§1. Introduction**]{} In the las...
--- abstract: 'The measurement of the flux of beryllium neutrinos with the accuracy of about 10% and CNO neutrinos with the accuracy 30% will enable to find the flux of pp-neutrinos in the source with the accuracy better than 1% using the luminosity constraint. The future experiments on $\nu $e$^{-}$ scattering will en...
--- bibliography: - 'marco.bib' - 'additional.bib' ---
--- abstract: 'Magneto conductance oscillations periodic in flux with periodicity $\Phi_{0}$ and $\Phi_{0}/2$ are seen in asymmetric Aharonov-Bohm rings as a function of density of electrons or Fermi wave vector. Dephasing of these oscillations is incorporated using a simple approach of wave attenuation. In this work w...
--- abstract: 'Understanding properties of the first sources in the Universe using the redshifted [H [i ]{}]{} 21-cm signal is one of the major aims of present and upcoming low-frequency experiments. We investigate the possibility of imaging the redshifted 21-cm pattern around the first sources during the cosmic dawn u...
--- abstract: 'If $E \subset {\mathbb{R}}^2$ is a compact set of Hausdorff dimension greater than $5/4$, we prove that there is a point $x \in E$ so that the set of distances $\{ |x-y| \}_{y \in E}$ has positive Lebesgue measure.' author: - 'Larry Guth, Alex Iosevich, Yumeng Ou, and Hong Wang' title: 'On Falconer’s dis...
--- abstract: | High Energy Physics experiments are currently entering a new era which requires the operation of gaseous particle detectors at unprecedented high rates and integrated particle fluxes. Full functionality of such detectors over the lifetime of an experiment in a harsh radiation environment is of prime...
--- author: - Marius Crainic date: 'Department of Mathematics, Utrecht University, The Netherlands' title: 'Chern characters via connections up to homotopy [^1]' --- [**Introduction:** ]{}The aim of this note is to point out that Chern characters can be computed using curvatures of “connections up to homotopy”, and to...
CALT-68-2065\ hep-th/9607201 = 20pt Lectures on Superstring and M Theory Dualities[^1] John H. Schwarz\ *California Institute of Technology, Pasadena, CA 91125, USA* **Abstract** > These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained i...
=-1cm [**BU-HEPP-10-03** ]{}\ [**June, 2010**]{}\ [“Low” Energy GUTs $^{\dagger}$ ]{} [**B.F.L. Ward**]{}\ [*Department of Physics,\ Baylor University, Waco, Texas, 76798-7316, USA*]{}\ [**Abstract**]{} We introduce a new approach to the subject of grand unification which allows the GUT scale to be small, $\lesssi...
--- abstract: 'To obtain an exact solution of a four-body system containing two quarks and two antiquarks interacting through two-body terms is a cumbersome task that has been tackled with more or less success during the last decades. We present an exact method for the study of four-quark systems based on the hypersphe...
--- abstract: 'We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We drive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole a...
--- author: - Giuseppe Dibitetto - Nicolò Petri bibliography: - 'references.bib' title: 'Surface defects in the D4-D8 brane system' --- Introduction ============ The most peculiar feature of the quantum string theory spectrum is the presence of extended objects of non-perturbative nature, which are referred to as bra...
--- abstract: 'Matrix integrals used in random matrix theory for the study of eigenvalues of matrix ensembles have been shown to provide $ \tau $-functions for several hierarchies of integrable equations. In this paper, we construct the matrix integral solutions to the Leznov lattice equation, semi-discrete and full-di...
--- author: - | $^1$, Dieter Engels$^1$, Hiroshi Imai$^2$, Joanne Dawson$^3$, Simon Ellingsen$^4$, Lorant Sjouwerman$^5$, Huib van Langevelde$^{6,7}$\ $^1$Hamburger Sternwarte, $^2$Kagoshima University, $^3$Macquarie University, $^4$University of Tasmania, $^5$National Radio Astronomy Observatory, $^6$Joint Ins...
--- abstract: 'We present a mosaic image of the 1.4 GHz radio continuum emission from the Large Magellanic Cloud (LMC) observed with the Australia Telescope Compact Array (ATCA) and the Parkes Telescope. The mosaic covers 10.8[$^\circ$]{}$\times$ 12.3[$^\circ$]{} with an angular resolution of 40, corresponding to a spa...
--- author: - 'C. Adami' - 'F. Sarron' - 'N. Martinet' - 'F. Durret' bibliography: - 'biblio.bib' date: 'Accepted . Received ; Draft printed: ' title: 'Candidate fossil groups in the CFHTLS: a probabilistic approach  [^1]' --- [Fossil groups (FGs) have been discovered 25 years ago, and are now defined as galaxy groups...
--- abstract: 'We present an overview of the notions of exact sequences of Hopf algebras and tensor categories and their connections. We also present some examples illustrating their main features; these include simple fusion categories and a natural question regarding composition series of finite tensor categories.' a...
--- abstract: | We present optical and near-infrared (NIR) photometry of 28 gamma-ray bursts (GRBs) detected by the *Swift* satellite and rapidly observed by the Reionization and Transients Infrared/Optical (RATIR) camera. We compare the optical flux at fiducial times of 5.5 and 11 hours after the high-energy trigg...
--- abstract: 'The momentum, electronic density, spin density, and interaction dependences of the exponents that control the $(k,\omega)$-plane singular features of the $\sigma =\uparrow,\downarrow$ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling conc...
--- address: - 'Department of Statistics, University of Florida, Gainesville, FL, USA, 32611' - 'Department of Statistics, University of Michigan, Ann Arbor, MI, USA, 48109' author: - Mohamad Kazem Shirani Faradonbeh - Ambuj Tewari - George Michailidis - Mohamad Kazem Shirani Faradonbeh - Ambuj Tewari - George Michaili...
--- abstract: 'Case isolation and contact tracing is a widely-used intervention method for controlling epidemic outbreaks. Here, we argue that the effectiveness of contact tracing and isolation is likely underestimated by existing studies because they do not take into account the different forms of heterogeneity and sa...
--- author: - 'Gabriel Ferreira, Christian K[ä]{}stner, Joshua Sunshine, Sven Apel, and William Scherlis' bibliography: - 'sigproc.bib' title: | Design Dimensions for Software Certification:\ A Grounded Analysis --- Software certification by regulatory entities plays a fundamental role in defining and assessin...
--- abstract: 'The super-Neptune exoplanet WASP-107b is an exciting target for atmosphere characterization. It has an unusually large atmospheric scale height and a small, bright host star, raising the possibility of precise constraints on its current nature and formation history. We report the first atmospheric study ...
--- address: - 'Mathematics Department, Ohio State University, 231 W. 18 Avenue, Columbus, Ohio, 43210, USA' - 'Mathematics Department, Pennsylvania State University, University Park, PA, 16802, USAInstitute for Mathematical Problems in Biology, Russian Academy of Sciences, Pushchino, Moscow Region, 142292, Russia' aut...
--- abstract: 'An automorphism $\alpha$ of a group $G$ is normal if it fixes every normal subgroup of $G$ setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups. In particular, we prove that for any relatively hyperbolic group $G$, $Inn(G)$ has finite index in the subgroup $Au...
--- abstract: 'We prove a version of Silverman’s dynamical integral point theorem for a large class of rational functions defined over global function fields.' address: 'Department of Mathematics, The Graduate Center, City University of New York (CUNY); 365 Fifth Avenue, New York, NY 10016, USA' author: - Wade Hindes t...
--- author: - '<span style="font-variant:small-caps;">Phil Trinder, Natalia Chechina, Nikolaos Papaspyrou,</span>' - '<span style="font-variant:small-caps;">Konstantinos Sagonas, Simon Thompson, Stephen Adams, Stavros Aronis,</span>' - '<span style="font-variant:small-caps;">Robert Baker, Eva Bihari, Olivier Boudeville...
--- abstract: 'The odd $A$ proton drip line nucleus $^{17}$F has been studied in a semi-microscopic model which couples proton quasiparticle motion to the vibrational motion of the neighbouring even-even $^{18}$Ne core. The experimentally observed low lying excitation spectrum, electric quadrupole moment, magnetic dipo...
--- abstract: 'Wannier function expansions are well suited for the description of photonic-crystal-based defect structures, but constructing maximally localized Wannier functions by optimizing the phase degree of freedom of the Bloch modes is crucial for the efficiency of the approach. We systematically analyze differe...
--- abstract: 'We study effective models of chiral fields and Polyakov loop expected to describe the dynamics responsible for the phase structure of two-flavor QCD at finite temperature and density. We consider chiral sector described either using linear sigma model or Nambu-Jona-Lasinio model and study the phase diagr...
--- abstract: 'For data sampled from an arbitrary density on a manifold embedded in Euclidean space, we introduce the *Continuous k-Nearest Neighbors* (CkNN) graph construction. We prove that CkNN is the unique unweighted construction that is consistent with the connected components of the underlying manifold in the li...
--- abstract: 'We investigate the relation between the classical ergodicity and the quantum eigenstate thermalization in the fully connected Ising ferromagnets. In the case of spin-1/2, an expectation value of an observable in a single energy eigenstate coincides with the long-time average in the underlying classical d...
--- abstract: 'Let $G$ be a finite group with a Sylow $p$-subgroup $P$. We prove that the principal $p$-blocks of $G$ and $N_G(P)$ are perfectly isometric under the assumption $G$ has a cyclic $p$-hyperfocal subgroup.' author: - Hiroshi HORIMOTO and Atumi WATANABE title: 'On a perfect isometry between principal $p$-blo...
--- abstract: 'The groupcast index coding problem is the most general version of the classical index coding problem, where any receiver can demand messages that are also demanded by other receivers. Any groupcast index coding problem is described by its *fitting matrix* which contains unknown entries along with $1$’s a...
--- abstract: 'Let $V$ be a simple vertex operator algebra and $G$ a finite automorphism group. Then there is a natural right $G$-action on the set of all inequivalent irreducible $V$-modules. Let $\S$ be a finite set of inequivalent irreducible $V$-modules which is closed under the action of $G.$ There is a finite dim...
--- abstract: | We prove the first explicit rate of convergence to the Tracy-Widom distribution for the fluctuation of the largest eigenvalue of sample covariance matrices that are not integrable. Our primary focus is matrices of type $ X^*X $ and the proof follows the Erdös-Schlein-Yau dynamical method. We use a r...
--- abstract: 'Quantum error correction is a solution to preserve the fidelity of quantum information encoded in physical systems subject to noise. However, unfavorable correlated errors could be induced even for non-interacting qubits through the environment (bath), when they are “packed" together. The question is, to...
--- abstract: 'Is he/she my type or not? The answer to this question depends on the personal preferences of the one asking it. The individual process of obtaining a full answer may generally be difficult and time consuming, but often an approximate answer can be obtained simply by looking at a photo of the potential ma...
--- abstract: '\[abstract\] After the identification of a candidate $\gamma$-ray transient in the error region of the binary black hole (BBH) merger GW150914 by the *Fermi* satellite, the question of whether BBH mergers can be associated to electromagnetic counterparts remains highly debated. Here, we present radio fol...
--- abstract: 'The spectra of emission-line galaxies (ELGs) from the extended Baryon Oscillation Spectroscopic Survey (eBOSS) of the Sloan Digit Sky Survey (SDSS) are used to study the mass-metallicity relation (MZR) at $z\sim0.8$. The selected sample contains about 180,000 massive star-forming galaxies with $0.6 < z <...