Entropy for a class of micro-economic modelsChater and MacKay [CM] derived an entropy function of state for exchange economies satisfying a list of axioms, and showed that a change of state of a system of such economies is possible if and only…Robert S MacKay·Oct 2, 2025SaveLearn
The role of self-adjoint extensions in the bulk-edge correspondenceWe investigate the role of self-adjoint extensions in the bulk-edge correspondence for topological insulators. While the correspondence is well understood in discrete models with spectral gaps,…Johannes Kellendonk, Tom Stoiber·Oct 1, 2025SaveLearn
Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularitiesIn this paper, we study the random polynomial pn():=Πj=1n (|zj|-), where the points \zj\j=1n are the eigenvalue moduli of random normal matrices with a radially symmetric…Kohei Noda·Oct 1, 2025SaveLearn
Effective Dynamics for Weakly Interacting Bosons in an Iterated High-Density Thermodynamic LimitWe study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is…Daniele Ferretti, Kalle Koskinen·Oct 1, 2025SaveLearn
On the interim statistics for compact group characteristic polynomials and their derivativesThe Keating-Snaith central limit theorem proves that N(A)=(I-A), for randomly drawn A∈ U(N), suitably normalised, tends to a complex Gaussian random variable in…E. Bailey, S. Ortiz·Oct 1, 2025SaveLearn
Classical BV cohomology of the N=1 spinning particleWe show that the classical Batalin--Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. arXiv:1511.02135, is removed by a Koszul--Tate resolution involving…Eugenia Boffo, Martin Cederwall·Oct 1, 2025SaveLearn
Representations of Josephson junction on the unit circle and the derivations of Mathieu operators and Fraunhofer patternsThe Hamiltonian J of the Josephson junction is introduced as a self-adjoint operator on l2 tensor l2. It is shown that J can also be realized as a self-adjoint operator HS1 on L2(S1) tensor L2(S1),…Toshiyuki Fujii, Fumio Hiroshima, Satoshi Tanda·Oct 1, 2025SaveLearn
Generalized Time-Coarse Graining via an Operator Cumulant ExpansionWe introduce a general framework for deriving effective dynamics from arbitrary time-dependent generators, based on a systematic operator cumulant expansion. Unlike traditional approaches, which…Leon Bello, Tal Rubin, Wentao Fan et al.·Oct 1, 2025SaveLearn
Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck ModelWe provide a complete classification of all the ways the Pais-Uhlenbeck osicllator might be embedded in two dimensional space. We discuss the Bi-Hamiltonian structures of this model, and examine how…Bethan Turner·Sep 30, 2025SaveLearn
The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard statesWe address the problem of constructing fundamental solutions and Hadamard states for a Klein-Gordon field in half-Minkowski spacetime with Robin boundary conditions in d ≥ 2 spacetime…B. Costeri, C. Dappiaggi, B. A. Juárez-Aubry et al.·Sep 30, 2025SaveLearn
Limit shapes for Domain-Wall (colored) vertex modelsWe study partition functions with domain-wall like boundary conditions for path models issued from colored vertex models. These models display an arctic phenomenon, as attested by numerical…Philippe Di Francesco, David Keating·Sep 29, 2025SaveLearn
Equilibrium states for non relativistic Bose gases with condensationIn this paper we present the construction of the equilibrium states at positive temperature in the presence of a condensation phase for a Gas of non relativistic Bose particles on an infinite space…Stefano Galanda, Nicola Pinamonti·Sep 29, 2025SaveLearn
The failure of the Ehlers--Kundt conjecture in the impulsive caseIn 1962, Ehlers and Kundt conjectured that plane waves are the only class of complete Ricci-flat~pp-waves, i.e.\ metrics on R4 of the form \[…Moriz L. Frauenberger, James D. E. Grant, Roland Steinbauer·Sep 29, 2025SaveLearn
Phase spaces in field theory: Reduction vs. resolutionIn this note we review the concept of phase space in classical field theory, discussing several variations on the basic notion, as well as the relation between them. In particular we will focus on…Aldo Riello, Michele Schiavina·Sep 29, 2025SaveLearn
On compatible linear and quadratic Poisson brackets on gl(N)In the present paper, using two constant tensors c and b on sl(N) sl(N) satisfying certain linear-quadratic equation and a technique of Poisson bivectors and Schouten brackets, we…Andriy Panasyuk, Taras Skrypnyk·Sep 28, 2025SaveLearn
On the distribution of charges in a conducting needleWe study the distribution of point charges in a straight conductive needle and the electric field created by them. Starting from the bead model with n point charges on the needle, we show the…Orion Ciftja, Adrien Guénard, Nefton Pali·Sep 28, 2025SaveLearn
From Quasiperiodicity to a Complete Coloring of the Kohmoto ButterflyThe spectra of the Kohmoto model give rise to a fractal phase diagram, known as the Kohmoto butterfly. The butterfly encapsulates the spectra of all periodic Kohmoto Hamiltonians, whose index…Ram Band, Siegfried Beckus·Sep 28, 2025SaveLearn
Reconstruction of acoustic sources from the initial arrival time of wavesIn this paper, a novel time domain sampling method based on the initial arrival time of waves is proposed to reconstruct acoustic sources, including point sources, curve sources, surface sources and…Qiuyi Li, Bo Chen, Peng Gao et al.·Sep 28, 2025SaveLearn
Haag Duality for 2D Quantum Spin SystemsHaag duality is a fundamental locality property introduced in the pioneering formulation of algebraic quantum field theory by Haag and Kastler in the 1960s. Since then, it has played a central role,…Yoshiko Ogata, David Pérez-García, Alberto Ruiz-de-Alarcón·Sep 28, 2025SaveLearn
Bohr-Sommerfeld quantization conditions for Schrodinger operator: the Method of Microlocal Wronskian and Gram MatrixIn this work, we present a new formulation of the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a Schrodinger operator within the algebraic and microlocal framework of B. Helffer…Abdelwaheb Ifa·Sep 27, 2025SaveLearn
Binary Representation in Multicomplex and Clifford AlgebrasUsing a binary representation for basis elements of an algebra combined with a framework of multiplier and index functions, a connection has been established between the structure of a large class of…Derek Courchesne, Sébastien Tremblay·Sep 27, 2025SaveLearn
Effective medium theory for embedded sound-soft obstacles in an anisotropic inhomogeneous medium with applicationsThis paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several…Huaian Diao, Qingle Meng, Zhiying Sun·Sep 27, 2025SaveLearn
Form uniqueness for graphs with weakly spherically symmetric endsWe give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of…Luis Hernandez, Sean Ku, Jun Masamune et al.·Sep 26, 2025SaveLearn
General integral-identities involving Legendre polynomials and their derivativesIntegrals involving derivatives of Legendre polynomials frequently arise in applications ranging from multipole expansions for processes involving electromagnetic probes to spectral methods in…Yannick Wunderlich, Kyungseon Joo, Victor I. Mokeev·Sep 26, 2025SaveLearn
Uniform Hyperbolicity, Bandgaps and Edge Modes in Aperiodic Systems of Subwavelength ResonatorsWe aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling from a finite library…Habib Ammari, Clemens Thalhammer, Alexander Uhlmann·Sep 26, 2025SaveLearn