Riesz-means bounds for functional-difference operators for mirror curvesLet \( P \) and \( Q \) be the quantum-mechanical momentum and position operators on \( L2() \). Let ζ>0. We provide estimates for the Riesz means (λ) associated with…Duván Cardona·Aug 10, 2025SaveLearn
Conditional splitting probabilities for hidden-state inference in drift-diffusive processesSplitting probabilities quantify the likelihood of particular outcomes out of a set of mutually-exclusive possibilities for stochastic processes and play a central role in first-passage problems. For…Emir Sezik, Jacob Knight, Henry Alston et al.·Aug 10, 2025SaveLearn
From n-Leibniz algebras and linear n-racks to the solutions of the (higher analogue of) Yang-Baxter equationIn this paper, we first demonstrate that a finite-dimensional n-Leibniz algebra naturally gives rise to an n-rack structure on the underlying vector space. Given any n-Leibniz algebra, we also…Apurba Das, Suman Majhi·Aug 9, 2025SaveLearn
Rigged Hilbert Space Formulation of Quantum Thermo Field Dynamics and Mapping to Rigged Liouville SpaceThe rigged Hilbert space, a triplet extension of the Hilbert space, provides a mathematically rigorous foundation for quantum mechanics by extending the Hilbert space to accommodate generalized…Junichi Takahashi, Shousuke Ohmori·Aug 9, 2025SaveLearn
Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamondThis paper explores the connection between perfect t-embeddings and the octahedron equation in the setting of the two-periodic Aztec diamond. In particular, we show that the positions of both the…Tomas Berggren, Marianna Russkikh·Aug 8, 2025SaveLearn
Nonlinear dispersive waves in soft elastic laminates under finite magneto-deformationsLayered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the frequency intervals for…Harold Berjamin, Stephan Rudykh·Aug 8, 2025SaveLearn
On the spectral theory in the Fock space with polynomial eigenfunctionsThe notion of the eigenvalue problem in the Fock space with polynomial eigenfunctions is introduced. This problem is classified by using the finite-dimensional representations of the…A. V. Turbiner, N. L. Vasilevski·Aug 8, 2025SaveLearn
Bohr-Sommerfeld Quantization Rules for 1-D Semiclassical Pseudo-Differential Operator: the Method of Microlocal Wronskian and Gram MatrixIn this paper, we revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D semiclassical pseudo-differential operator, within the algebraic and microlocal…Abdelwaheb Ifa·Aug 7, 2025SaveLearn
Rational Extended Thermodynamics for Non-Newtonian Fluids with Finite Relaxation TimeWe introduce a one-dimensional, hyperbolic model for non-Newtonian fluids with finite relaxation time, derived within the framework of Rational Extended Thermodynamics (RET). Unlike classical…Tommaso Ruggeri·Aug 7, 2025SaveLearn
Shell energies derived from three-dimensional isotropic strain-gradient elasticityWe derive a class of two-dimensional shell energies for thin elastic bodies exhibiting small-length scale effects modeled via strain-gradient elasticity. Building on the final author's earlier work…C. Balitactac, Y. Canzani, R. S. Hallyburton et al.·Aug 7, 2025SaveLearn
Finite 2-group gauge theory and its 3+1D lattice realizationIn this work, we employ the Tannaka-Krein reconstruction to compute the quantum double D( G) of a finite 2-group G as a Hopf monoidal category. We also construct a 3+1D…Mo Huang·Aug 6, 2025SaveLearn
Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian termWe develop the method for constructing solutions to the nonlocal nonlinear Schr\"odinger equation (NLSE) with an anti-Hermitian term that are semiclassically localized on a one-dimensional manifold…Anton E. Kulagin, Alexander V. Shapovalov·Aug 6, 2025SaveLearn
Linear relations supplementing BKP for the Kontsevich matrix model with even potentialWith G. Borot we have previously proved that moments of the Kontsevich matrix model with arbitrary potential satisfy quadratic BKP relations. In this note we show that, for even potential, these…Raimar Wulkenhaar·Aug 6, 2025SaveLearn
Asymptotics of the real eigenvalue distribution for the real spherical ensembleThe real Ginibre spherical ensemble consists of random matrices of the form A B-1, where A,B are independent standard real Gaussian N × N matrices. The expected number of real…Peter J. Forrester·Aug 6, 2025SaveLearn
The fermionic DGFF and its scaling limit logCFTIn this paper, we identify the scaling limit of the fermionic discrete Gaussian free field (fDGFF) as a logarithmic conformal field theory (CFT) in two dimensions. We first establish a one-to-one…David Adame-Carrillo, Wioletta M. Ruszel·Aug 5, 2025SaveLearn
The problem of sharp notch in microstructured solids governed by dipolar gradient elasticityIn this paper, we deal with the asymptotic problem of a body of infinite extent with a notch (re-entrant corner) under remotely applied plane-strain or anti-plane shear loadings. The problem is…P. A. Gourgiotis, M. D. Sifnaiou, H. G. Georgiadis·Aug 5, 2025SaveLearn
On singular limits of relative entropiesIn this paper we generalize a key result relating singular limits of certain relative entropies with index in the setting of conformal nets, which has played an important role recently in the…Feng Xu·Aug 5, 2025SaveLearn
Integrable multispecies totally asymmetric stochastic interacting particle systems with homogeneous ratesWe study one dimensional stochastic particle systems with exclusion interaction that each site can be occupied by at most one particle, and homogeneous jumping rates. Alimohammadi and Ahmadi…Eunghyun Lee, Temirlan Raimbekov·Aug 5, 2025SaveLearn
Solving Differential Equations by DifferentiatingIn this work, we illustrate and explore the use of Taylor series as solutions of differential equations. For a large a number of classes of differential equations in the literature, there are plenty…Alberto Contreras-Cristan, Jose Gonzalez-Barrios, Raul Rueda·Aug 4, 2025SaveLearn
A notion of partial order in the Choose the Leader modelIn this work we continue the study of non-chaotic asymptotic correlations in many element systems and discuss the emergence of a new notion of asymptotic correlation -- partial order -- in the Choose…Amit Einav, Yue Jiang·Aug 4, 2025SaveLearn
A study of path measures based on second-order Hamilton--Jacobi equations and their applications in stochastic thermodynamicsThis paper provides a systematic investigation of the mathematical structure of path measures and their profound connections to stochastic differential equations (SDEs) through the framework of…Jianyu Hu, Qiao Huang, Yuanfei Huang et al.·Aug 4, 2025SaveLearn
Flat bands, Dirac cones, and higher-order band crossings in twisted multilayer grapheneFor the chiral limit of two sheets of n-layer Bernal-stacked graphene established in the Physical Review Letters arXiv:2109.10325 and arXiv:2109.11514, we prove a trichotomy: depending on the…Bryan Li, Mengxuan Yang·Aug 4, 2025SaveLearn
Fractal Dimension in Nonlinear Wave Dynamics Governed by a Nonlinear Partial Differential EquationThis work presents a detailed analytical and geometrical investigation of the (2+1)-dimensional Boiti-Leon-Pempinelli system, a nonlinear dispersive model arising in the context of fluid and plasma…Saugata Dutta, Kajal Kumar Mondal, Prasanta Chatterjee·Aug 3, 2025SaveLearn
Properties of associated Legendre conical functionsWe present some new properties of associated Legendre conical functions of the first and second kind, P-1/2-K-1/2+i τ() and Q-1/2-K-1/2+i τ(). In particular we show that…Daniel A. Norman, Philip D. Mannheim, Tianye Liu·Aug 3, 2025SaveLearn
A rigorous Keldysh functional integral for fermionsWe provide a mathematically rigorous Keldysh functional integral for fermionic quantum field theories. We show convergence of a discrete-time Grassmann Gaussian integral representation in the…Philipp Benjamin Aretz, Manfred Salmhofer·Aug 3, 2025SaveLearn