Quasi-Pfaffians and applicationsThis paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew-symmetric…Claire Gilson, Shi-Hao Li, Guo-Fu Yu·Nov 25, 2025SaveLearn
Quantum Lp inequalities in thermal statesIn thermal quantum field theory, the global Liouvillian (the generator of time translations) is passive. How is this reflected in the properties of its local density, a quantum field? We propose that…Henning Bostelmann, Daniela Cadamuro, Leonardo Sangaletti·Nov 24, 2025SaveLearn
Witt type Realizations of 2-D Cayley-Klein Algebras with non-zero curvaturesThe article presents various Witt type vector field realizations of 2-D Cayley-Klein algebras with non-vanishing curvatures. The expressions of the vector fields involve Jacobi elliptic functions…Arindam Chakraborty·Nov 24, 2025SaveLearn
Local Laws and Fluctuations for Super-Coulombic Riesz GasesWe study the local statistical behavior of the super-Coulombic Riesz gas of particles in Euclidean space of arbitrary dimension, with inverse power distance repulsion integrable near 0, and with a…Luke Peilen, Sylvia Serfaty·Nov 23, 2025SaveLearn
Projective deduction of the non-trivial first integral to the Euler problem: an explicit computationThe validity of Kepler Laws for the spherical Kepler problem -- namely, the problem of the motion of a particle on the unit sphere in R3 undergoing an attraction by another…Gabriella Pinzari, Lei Zhao·Nov 23, 2025SaveLearn
Non-Symplectic Deformations of Geometric QuantisationWe introduce the notion of geometric pseudo-quantisation based on geometric quantisation with a weakened curvature condition. We show how such a structure arises naturally from simple deformations of…Kerr Maxwell·Nov 23, 2025SaveLearn
Symbolic computation of optimal systems of subalgebras of three- and four-dimensional real Lie algebrasThe complete optimal systems of subalgebras of all nonisomorphic three- and four-dimensional real Lie algebras are analyzed by the program running in the computer algebra system…Luca Amata, Francesco Oliveri, Emanuele Sgroi·Nov 23, 2025SaveLearn
The continuum limit of some products of random matrices associated with renewing flowsWe consider the continuum limit of some products of random matrices in SL(d, R) that arise as discretisations of incompressible renewing flows -- that is, of flows corresponding to…Yves Tourigny·Nov 23, 2025SaveLearn
An example of algebraically general para-K\"ahler Einstein spaceAlgebraically general para-K\"ahler Einstein spaces equipped with 3D algebras of infinitesimal symmetries are considered. It is shown that if the algebra contains 2D trivial subalgebra then vacuum…Adam Chudecki, Michał Dobrski·Nov 23, 2025SaveLearn
General relativistic Lagrangian continuum theories -- Part II: electromagnetic fluids and solids with junction conditionsWe develop a covariant variational framework for relativistic electromagnetic continua (fluids and solid) based on Hamilton's principle formulated directly in the material description. The approach…Francçois Gay-Balmaz·Nov 23, 2025SaveLearn
A Chiral Adelic Dirac Operator and the Spectral Realization of the Riemann ZerosThis paper develops a chiral adelic operator framework in which the functional--equation symmetry of global L--functions is realized directly in the spectrum of a Dirac--type Hamiltonian. Working…James C. Hateley·Nov 23, 2025SaveLearn
Factorization for the matrix-valued general Jacobi system on the full-line latticeThe Jacobi system with matrix-valued coefficients and with the spectral parameter depending on a matrix-valued weight factor is considered on the full-line lattice. The scattering from the full-line…Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou et al.·Nov 23, 2025SaveLearn
On perturbations of the DN map of a disk causing changes of surface topologyWe establish the degeneration of the Schottky double of a genus 1 Riemann surface with boundary as its DN map tends to the DN map of the unit disk.Dmitrii Korikov·Nov 22, 2025SaveLearn
Asymptotic analysis of a Family of Painlev\'e Functions with Applications to CUE Derivative MomentsThe Riemann-Hilbert method is employed to carry out an asymptotic analysis of a family of σ-Painlev\'e V functions associated with Hankel determinants involving the confluent hypergeometric…Thomas Bothner, Fei Wei·Nov 22, 2025SaveLearn
On gap properties for the linearized 1D Dirac--Soler modelWe study spectral properties of the Dirac operator L0 arising as the upper-right off-diagonal block in the linearization around standing wave solutions of the one-dimensional Soler model with…Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer·Nov 21, 2025SaveLearn
Superconformal topological recursionWe investigate a supersymmetric generalisation of topological recursion from two perspectives: algebraic and geometric. The algebraic side concerns a recursive structure encoded in modules of a super…Nezhla Aghaei, Reinier Kramer, Nicolas Orantin et al.·Nov 21, 2025SaveLearn
The identification of the extended refined open partition function and the Kontsevich-Penner matrix modelThe open intersection theory has been initiated by R. Pandharipande, J. P. Solomon and R. J. Tessler. In the scope of matrix model theory, A. Buryak and R. J. Tessler have constructed a matrix model…Gehao Wang·Nov 21, 2025SaveLearn
A permutation-based power series representation of the Baker-Campbell-Hausdorff formulaThe Baker-Campbell-Hausdorff formula was recently resummed exactly in one variable, and left as a power series in the other (Moodie and Long 2021 J. Phys. A: Math. Theor. 54 015208). The coefficients…Joseph M. Jones, M. W. Long·Nov 20, 2025SaveLearn
C-categorical prefactorization algebras for superselection sectors and topological orderThis paper presents a conceptual and efficient geometric framework to encode the algebraic structures on the category of superselection sectors of an algebraic quantum field theory on the…Marco Benini, Victor Carmona, Pieter Naaijkens et al.·Nov 20, 2025SaveLearn
Exponential Suppression of Transport in Electric Quantum WalksWe establish exact scalings for the maximal group velocity of translation-invariant quantum walks in periodic electric fields. Our main result shows that the maximal group velocity decays…Houssam Abdul-Rahman, Christopher Cedzich, Günter Stolz et al.·Nov 19, 2025SaveLearn
Inhomogeneous SSH models and the doubling of orthogonal polynomialsWe analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of the models. We…Nicolas Crampé, Quentin Labriet, Lucia Morey et al.·Nov 19, 2025SaveLearn
Higgs Branches in the Omega-background via the Category of Line OperatorsThe vacuum manifold M of a topological twist of a 3d N=4 gauge theory is a hyper-K\"ahler variety; deformations and quantizations of M can be constructed in the…Thomas Karabela, Wenjun Niu·Nov 18, 2025SaveLearn
Geometric integrators for adiabatically closed simple thermodynamic systemsA variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced partially…Jaime Bajo, Manuel de León, Asier López-Gordón·Nov 18, 2025SaveLearn
Thermodynamics of the Fermi-Hubbard Model through Stochastic Calculus and Girsanov TransformationWe apply the methodology of our recent paper 'The Dynamics of the Hubbard Model through Stochastic Calculus and Girsanov Transformation' [1] to thermodynamic correlation functions in the…Detlef Lehmann·Nov 17, 2025SaveLearn
On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum WalksWe study the convergence rate of translation-invariant discrete-time quantum dynamics on a one-dimensional lattice. We prove that the cumulative distributions function of the ballistically scaled…Benjamin Hinrichs, Pascal Mittenbühler·Nov 17, 2025SaveLearn