Stress concentration via quasi-Minnaert resonance in bubble-elastic structures and applicationsStress concentration in bubble-elastic scattering scenarios has significant applications in engineering blasting and medical treatments. This study provides a comprehensive mathematical analysis of…Ruixiang Tang, Huaian Diao, Hongyu Liu et al.·Oct 8, 2025SaveLearn
Appearance of the higher-order Stokes phenomenon in a discrete Airy equationWe study a discrete variant of the Airy equation, formulated as an advance-delay equation, to reveal that discretization induces the higher-order Stokes phenomenon, which is not present in the…Aaron J. Moston-Duggan, Christopher J. Howls, Christopher J. Lustri·Oct 7, 2025SaveLearn
An Approach to Anti-Wick Ordering of Bosonic FieldsWe present a new technique for putting general boson fields into ant-Wick ordered form. The anti-Wick map associates an operator with a given function of complex variables, and we show that it may be…John E. Gough, Hideyasu Yamasita·Oct 7, 2025SaveLearn
Simplification of nonlinear equations for a field operatorIn this paper, we study different properties of the motion equations of interacting fields. In the second section, we prove that "Wightman's" fields (we use only a subset of Wightman's axioms) are…V. I. Lapushkin·Oct 7, 2025SaveLearn
Poisson structures on weak Sobolev loop spaces and applications to integrable systemsWe develop a framework for Poisson geometry on loop spaces of low regularity, extending Mokhov's classical constructions from smooth loops to weak Sobolev spaces Ws,p(S1,Rm)…Jean-Pierre Magnot·Oct 7, 2025SaveLearn
Analog and Symbolic Computation through the Koopman FrameworkWe develop a Koopman operator framework for studying the computational properties of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides a natural…Francesco Caravelli, Jean-Charles Delvenne·Oct 7, 2025SaveLearn
Mutual entropy and thermal area law in C*-algebraic quantum lattice systemsWe present a general definition of quantum mutual entropy for infinitely extended quantum spin and fermion lattice systems. Using this, we establish a thermal area law in these infinitely extended…Hajime Moriya·Oct 7, 2025SaveLearn
Validity condition of normal form transformation for the β-FPUT systemIn this work, we provide a validity condition for the normal form transformation to remove the non-resonant cubic terms in the β-FPUT system. We show that for a wave field with random phases,…Boyang Wu, Miguel Onorato, Zaher Hani et al.·Oct 6, 2025SaveLearn
Inverse scattering for N-body time-decaying harmonic oscillatorsIn the previous study (Ishida, 2025), the author proved the uniqueness of short-range potential functions using the Enss-Weder time-dependent method (Enss and Weder, 1995) for a two-body quantum…Atsuhide Ishida·Oct 6, 2025SaveLearn
Three-point functions in critical loop modelsIn two-dimensional models of critical non-intersecting loops, there are -leg fields that insert ∈N* open loop segments, and diagonal fields that change the weights of closed…Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Sylvain Ribault et al.·Oct 6, 2025SaveLearn
The smallest eigenvalue of β-Laguerre and β-Jacobi ensembles and multivariate orthogonal polynomialsWe study the smallest eigenvalue statistics of the β-Laguerre and β-Jacobi ensembles. Using Kaneko's integral formula, we show that the smallest eigenvalue marginal density and…Sungwoo Jeong·Oct 6, 2025SaveLearn
Semiclassical tunneling for some 1D Schr\"odinger operators with complex-valued potentialsWe consider the non-selfadjoint, semiclassical Schr\"odinger operator L(h) := -h2∂x2+eiαV, where α ∈ (-π,π) and V: R R+ is even and…Martin Averseng, Nicolas Frantz, Frédéric Hérau et al.·Oct 5, 2025SaveLearn
Characteristic polynomials of non-Hermitian random band matricesWe consider the asymptotic local behavior of the second correlation functions of the characteristic polynomials of a certain class of Gaussian N× N non-Hermitian random band matrices with a…Mariya Shcherbina, Tatyana Shcherbina·Oct 5, 2025SaveLearn
Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum SystemsWe study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving frequencies, we prove…Matteo Gallone, Beatrice Langella·Oct 5, 2025SaveLearn
Characteristic polynomials of tensors via Grassmann integrals and distributions of roots for random Gaussian tensorsWe propose a new definition of characteristic polynomials of tensors based on a partition function of Grassmann variables. This new notion of characteristic polynomial addresses general tensors…Nicolas Delporte, Giacomo La Scala, Naoki Sasakura et al.·Oct 5, 2025SaveLearn
Supersymmetries in the theory of W-algebrasLet g be a basic Lie superalgebra and f be an odd nilpotent element in an osp(1|2) subalgebra of g. We provide a mathematical proof of the statement that the…Andrew Linshaw, Arim Song, Uhi Rinn Suh·Oct 4, 2025SaveLearn
Dimension dependence of critical phenomena in long-range percolationStatistical mechanical systems at and near their points of phase transition are expected to exhibit rich, fractal-like behaviour that is independent of the small-scale details of the system but…Tom Hutchcroft·Oct 4, 2025SaveLearn
Ballistic electron transport described by a generalized Schr\"odinger equationWe propose a Schr\"odinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic effects through…Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano·Oct 4, 2025SaveLearn
Fermionic optimal transportQuadratic Wasserstein distances are obtained between dynamical systems (with states as special case), on Z2-graded von Neumann algebras. This is achieved through a systematic translation…Rocco Duvenhage, Dylan van Zyl, Paola Zurlo·Oct 3, 2025SaveLearn
Ohta-Kawasaki Model Reveals Patterns on Multicomponent VesiclesWe present a new mechanochemical modeling framework to explore the shape deformation and pattern formation in multicomponent vesicle membranes. In this framework, the shape of the membrane is…Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao·Oct 3, 2025SaveLearn
A Direct Approach for Detection of Bottom Topography in Shallow WaterWe propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one-dimensional shallow water equations. The technique requires…Lamsahel Noureddine, Carole Rosier·Oct 3, 2025SaveLearn
Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) SystemThe BKBK system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward…Darryl D. Holm, Ruiao Hu, Hanchun Wang·Oct 2, 2025SaveLearn
Some notes on the Hellinger distance and various Fisher-Rao distancesThese expository notes introduce the Hellinger distance on the set of all measures and the induced Fisher-Rao distances for subsets of measures, such as probability measures or Gaussian measures. The…Alexander Mielke·Oct 2, 2025SaveLearn
The g-2 in the neutral Electroweak model with cutoff: convergent expansion, RG and the Jackiw-Weinberg formulaThe prediction of the anomalous gyromagnetic factor of the electron, started with the evaluation of the electromagnetic contribution by Schwinger (1948) and of the weak contribution by Jackiw and…Vieri Mastropietro, Michele Bianchessi·Oct 2, 2025SaveLearn
Waves, structures, and the Riemann problem for a system of hyperbolic conservation lawsA system of hyperbolic conservation laws ∂t u + ∂x ∂u Q = 0, Q = u13 / 3 + u1 u22, u = u(x,t) ∈2, as well as its viscous regularization …A. P. Chugainova, D. V. Treschev·Oct 2, 2025SaveLearn