Moments of characteristic polynomials for classical β ensemblesFor random matrix ensembles with unitary symmetry, there is interest in the large N form of the moments of the absolute value of the characteristic polynomial for their relevance to the Riemann…Bo-Jian Shen, Peter J. Forrester·Feb 11, 2025SaveLearn
Polynomially Superintegrable Hamiltonians Separating in Cartesian CoordinatesThe problem of finding superintegrable Hamiltonians and their integrals of motion can be reduced to solving a series of compatibility equations that result from the overdetermination of the…Ian Marquette, Anthony Parr·Feb 10, 2025SaveLearn
Principal SUSY and nonSUSY W-algebras and their Zhu algebrasThis paper consists of two parts. In the first part, we prove that when g is a simple basic Lie superalgebra with a principal odd nilpotent element f, the W-algebra $Wk(g,…Naoki Genra, Arim Song, Uhi Rinn Suh·Feb 8, 2025SaveLearn
Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction-Diffusion DynamicsLearning reaction-diffusion equations has become increasingly important across scientific and engineering disciplines, including fluid dynamics, materials science, and biological systems. In this…Jindong Wang, Wenrui Hao·Feb 8, 2025SaveLearn
On the diagonals of rational functions: the minimal number of variables (unabridged version)From some observations on the linear differential operators occurring in the Lattice Green function of the d-dimensional face centred and simple cubic lattices, and on the linear differential…S. Hassani, J-M. Maillard, N. Zenine·Feb 8, 2025SaveLearn
Cumulant Structures of Entanglement EntropyWe present a new method to derive exact cumulant expressions of any order of von Neumann entropy over Hilbert-Schmidt ensemble. The new method uncovers hidden cumulant structures that decouple each…Youyi Huang, Lu Wei·Feb 7, 2025SaveLearn
Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operatorsWe study from an algebraic and geometric viewpoint Hamiltonian operators which are sum of a non-degenerate first-order homogeneous operator and a Poisson tensor. In flat coordinates, also known as…Giorgio Gubbiotti, Francesco Oliveri, Emanuele Sgroi et al.·Feb 7, 2025SaveLearn
Scaling of highly excited Schr\"odinger-Poisson eigenstates and universality of their rotation curvesThis work provides a comprehensive numerical characterization of the excited spherically symmetric stationary states of the Schr\"odinger-Poisson problem. Through numerical computation of highly…Gaia Marangon, Antonio Ponno, Lorenzo Zanelli·Feb 7, 2025SaveLearn
Functorial Einstein Algebras and the Malicious SingularityEinstein algebra, the concept due to Geroch, is essentially general relativity in an algebraic disguise. We introduce the concept of Einstein-Grassmann algebra as a superalgebra (defining a…Michael Heller, Tomasz Miller, Leszek Pysiak et al.·Feb 7, 2025SaveLearn
43 Theory from many-body quantum Gibbs statesWe derive the 43 measure on the torus as a rigorous limit of the quantum Gibbs state of an interacting Bose gas. To be precise, starting from many-body quantum mechanics, where the problem is…Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu·Feb 7, 2025SaveLearn
Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent InteractionsWe study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave…Benjamin Hinrichs, Jonas Lampart, Javier Valentín Martín·Feb 7, 2025SaveLearn
Two-dimensional topological quantum field theories of rank two over Dedekind domainsWe give examples of Frobenius algebras of rank two over ground Dedekind rings which are projective but not free and discuss possible applications of these algebras to link homology.Fabian Espinoza, Mee Seong Im, Mikhail Khovanov·Feb 6, 2025SaveLearn
Algebras behind the bispectrality of the Wilson rational functions and their 4φ3 limitsThe properties of the Wilson rational functions 10φ9 with three different normalizations are described. For one normalization, it satisfies an RII recurrence relation, whereas for the…Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet et al.·Feb 6, 2025SaveLearn
On multipoint correlation functions in the Sinh-Gordon 1+1 dimensional quantum field theoryThis work provides a closed, explicit and rigorous expression for the appropriately truncated k-point function of the integrable 1+1 dimensional Sinh-Gordon quantum field theory. The results are…Karol K. Kozlowski, Alex Simon·Feb 6, 2025SaveLearn
Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double β-Grothendieck polynomialsA GL(n) quantum integrable system generalizing the asymmetric five vertex spin chain is shown to encode the ring relations of the equivariant quantum cohomology and equivariant quantum K-theory…Jirui Guo·Feb 6, 2025SaveLearn
The Feynman-Kac formula in deformation quantizationWe introduce the Feynman-Kac formula within the deformation quantization program. Constructing on previous work it is shown that, upon a Wick rotation, the ground state energy of any prescribed…Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado·Feb 5, 2025SaveLearn
Topological phases of non-interacting systems: A general approach based on statesIn this work we provide a classification scheme for topological phases of certain systems whose observable algebra is described by a trivial C*-bundles. The classification is based on the study of…Giuseppe De Nittis·Feb 5, 2025SaveLearn
Fragile topology on solid grounds: a mathematical perspectiveThis paper provides a mathematical perspective on fragile topology phenomena in condensed matter physics. In dimension d ≤ 3, vanishing Chern classes of bundles of Bloch eigenfunctions…Simon Becker, Zhongkai Tao, Mengxuan Yang·Feb 5, 2025SaveLearn
Tail bounds for the Dyson series of random Schr\"odinger equationsWe study Schr\"odinger equations on Zd and Rd, d≥ 2 with random potentials of strength λ. Our main result gives tail bounds for the terms of the Dyson series that…Adam Black, Reuben Drogin, Felipe Hernández·Feb 4, 2025SaveLearn
Stochastic quantization of λ φ24- theory in 2-d Moyal spaceThere is strong evidence for the conjecture that the λ φ4 QFT- model on 4-dimensional non-commutative Moyal space can be non-perturbatively constructed. As preparation, in this paper we…Chunqiu Song, Hendrik Weber, Raimar Wulkenhaar·Feb 4, 2025SaveLearn
Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic ChainsWe show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investigation are…Wojciech De Roeck, Lydia Giacomin, Amirali Hannani et al.·Feb 4, 2025SaveLearn
Diagrammatics of informationWe introduce a diagrammatic perspective for Shannon entropy created by the first author and Mikhail Khovanov and connect it to information theory and mutual information. We also give two complete…Mee Seong Im, Clement Kam, Caden Pici·Feb 4, 2025SaveLearn
Localization phenomena in the random XXZ spin chainIt is shown that the infinite random Heisenberg XXZ spin-12 chain exhibits localization phenomena, such as spectral, eigenstate, and weak dynamical localization, in an arbitrary (but fixed)…Alexander Elgart, Abel Klein·Feb 3, 2025SaveLearn
On the fluxes induced by interacting fields in multiple scatteringMultiple scattering problems involving point-source excitation of lossy media are considered. The sound fluxes induced by the interactions between the scattered fields are analyzed. Theorems…Andreas Kalogeropoulos, Nikolaos L. Tsitsas·Feb 3, 2025SaveLearn
Non-integrability of the n-body problemWe prove that the classical planar n-body problem when restricted to a common level of the energy and the angular momentum is not integrable except in the case when both values of these integrals…Andrzej J. Maciejewski, Maria Przybylska, Thierry Combot·Feb 3, 2025SaveLearn