Functional models and self-modeling property of minimal Dirac operators on the half-lineWe prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformation (shape…M. I. Belishev, S. A. Simonov·Mar 31, 2026SaveLearn
Exact Solution of Chandrasekhar's H Function For the Isotropic CaseThis study provides an exact solution to Chandrasekhar's H function for isotropic scattering. The H function, which is governed by a nonlinear integral equation, plays a central role in radiative…Fikret Anli·Mar 31, 2026SaveLearn
Ground state energy of the Bose--Hubbard model with large coordination number with a polaron-type quantum de Finetti theoremWe consider the ground state energy of the Bose--Hubbard model on a graph with large and homogeneous coordination number. In the limit of infinite coordination number, we prove convergence of the…Shahnaz Farhat, Denis Périce, Sören Petrat·Mar 31, 2026SaveLearn
Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theoryExplicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group integrals of…Gernot Akemann, Georg Angermann, Mario Kieburg et al.·Mar 31, 2026SaveLearn
The Contextual Modal Logic of a Wigner's Friend GeneralizationQuantum mechanics has been subject to logical scrutiny since its inception. The behavior of quantum systems, which are fundamentally dissimilar from classical systems, often appears to point to a…Felipe Dilho Alves, João Carlos Alves Barata·Mar 30, 2026SaveLearn
Remarks on "Further comments on "Rebuttal of "Refutation of "Comment on "Reply to "Comments on "A genuinely natural information measure" " " " " " "It's a bit tedious, but as John Doe and Jean Roe have insisted on offering further comments on our comprehensive refutation of the former's already tiringly obstinate advances, we feel compelled to…Z. Sommer, A. Winter·Mar 30, 2026SaveLearn
Central Limit Theorems for Outcome Records in Disordered Quantum TrajectoriesWe prove annealed central limit theorems for finite pattern counts in the measurement record of discrete-time quantum trajectories generated by repeated measurements in a disordered environment.…Lubashan Pathirana·Mar 30, 2026SaveLearn
Invariant measures of randomized quantum trajectoriesQuantum trajectories are Markov chains modeling quantum systems subjected to repeated indirect measurements. Their stationary regime depends on what observables are measured on the probes used to…Tristan Benoist, Sascha Lill, Cornelia Vogel·Mar 30, 2026SaveLearn
Quasi-local probability averaging in the context of cutoff regularizationIn this paper, we study the properties of averaged fundamental solutions of a special type for Laplace operators in the Euclidean space of an arbitrary dimension. We consider a class of kernels…A. V. Ivanov, I. V. Korenev·Mar 30, 2026SaveLearn
A Damage-Driven Model for Duchenne Muscular Dystrophy: Early-Stage Dynamics and Invasion ThresholdsWe introduce a spatially extended mathematical model for Duchenne muscular dystrophy based on a damage-driven paradigm, in which immune recruitment is triggered by tissue injury. The model is…Gaetana Gambino, Francesco Gargano, Alessandra Rizzo et al.·Mar 30, 2026SaveLearn
Gibbs measure for the HC-Blume-Capel model in the case of a "wand" type graph on a Cayley treeIn this paper, we investigate translation-invariant splitting Gibbs measures (TISGMs) for the HC-Blume-Capel model on a "wand" graph embedded in the Cayley tree of arbitrary order k ≥ 2. It is…Nosirjon M. Khatamov, Malika A. Kodirova·Mar 30, 2026SaveLearn
A symmetry formula for correlation functions in the superintegrable chiral Potts spin chainWe prove an exact finite-volume symmetry formula for two-point functions in the periodic N-state superintegrable chiral Potts spin chain. We show that, for every chain length L and every…Haoran Zhu·Mar 30, 2026SaveLearn
Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlevé VI distributionWe determine the full persistence probability distribution for a non-Markovian stochastic process, motivated by first-passage questions arising in interacting spin systems and allied systems. We show…Ivan Dornic, Robert Conte·Mar 30, 2026SaveLearn
Resonances in a Dirichlet quantum waveguide coupled to a cavityWe consider a Dirichlet waveguide in Rn (n = 2,3) with an attached cavity. We show that if the cavity admits a small gap, then the original embedded eigenvalues turn into resonances.…Sylwia Kondej, Nikoloz Kurtskhalia·Mar 29, 2026SaveLearn
A Concentration of Measure Phenomenon in the Principal Chiral ModelWe utilize the concentration of measure phenomenon to study the large N limit of the O(N) principal chiral model. The partition function in this limit is demonstrated to be that of a free massive…Tamer Tlas·Mar 29, 2026SaveLearn
Waves within a network of slowly time-modulated interfaces: time-dependent effective properties, reciprocity and high-order dispersionWe consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass and rigidity…Michaël Darche, Raphaël Assier, Sébastien Guenneau et al.·Mar 29, 2026SaveLearn
Homothetic Hodge-de Rham Theory and a Geometric Regularization of Elliptic Boundary Value ProblemsWe introduce a homothetic extension of classical Weyl integrable geometry by generalizing the usual linear gauge transformations to affine homothetic transformations centered at a distinguished…Fereidoun Sabetghadam·Mar 29, 2026SaveLearn
Pseudo-magnetism in a strained discrete honeycomb latticeSlowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graphene, and later in…Xuenan Li, Michael I. Weinstein·Mar 29, 2026SaveLearn
The Full Set of KMS-States for Abelian Kitaev ModelsWe first prove that the subalgebra C generated by the vertex and face operators of an abelian Kitaev model is a C-diagonal of the UHF algebra A of quasilocal…Danilo Polo Ojito, Emil Prodan·Mar 28, 2026SaveLearn
Quantum Hall States response to toroidal geometry deformationIn this paper, we apply techniques of geometric quantization to study the response of the integer and fractional quantum Hall effects to toroidal geometry deformation. The main method is that of…Bruno Mera, José M. Mourão, João P. Nunes et al.·Mar 28, 2026SaveLearn
Semiclassical shape resonances for magnetic Stark HamiltoniansWe study shape resonances of two-dimensional magnetic Stark Hamiltonians in the semiclassical limit. The magnetic field is assumed to be constant and the scalar potential is a perturbation of a…Kentaro Kameoka, Naoya Yoshida·Mar 28, 2026SaveLearn
Symmetry analysis and exact solutions of multi-layer quasi-geostrophic problemWe carry out an extended symmetry analysis of the multi-layer quasi-geostrophic problem. This model is given by a system of an arbitrary number of coupled barotropic vorticity equations. Conservation…Serhii D. Koval, Alex Bihlo, Roman O. Popovych·Mar 27, 2026SaveLearn
Noether symmetry groups, locally conserved integrals, and dynamical symmetries in classical mechanicsSeveral aspects of the connection between conserved integrals (invariants) and symmetries are illustrated within a hybrid Lagrangian-Hamiltonian framework for dynamical systems. Three examples are…Stephen C. Anco·Mar 27, 2026SaveLearn
Magnetic Weyl Super Calculus: Schatten-class properties, commutator criterion, and complete positivityWe combine our previous results on magnetic pseudo-differential operators for H\"ormander symbols dominated by tempered weights [arXiv:2511.07184] with the magnetic Weyl super calculus of Lee and…Horia D. Cornean, Mikkel H. Thorn·Mar 27, 2026SaveLearn
Orthogonal pairs of Euler elements II: Geometric Bisognano--Wichmann and Spin--Statistics TheoremsModels in Algebraic Quantum Field Theory (AQFT) may be generalized including Lie groups of symmetries whose Lie algebras admit an Euler element h, characterized by the property that ad h is…Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson·Mar 27, 2026SaveLearn