Low-noise Pauli-consistent ensemble Monte Carlo for graphene with electron-electron scatteringWe investigate Pauli-consistent ensemble Monte Carlo simulations of graphene with explicit intraband electron-electron scattering. To reduce the cost of electron-electron proposal-rate evaluation, we…Tigran Zalinyan, Giovanni Nastasi·Apr 20, 2026SaveLearn
Kernel-Preserving Dynamics and Symmetry Classification for Synchronization SubspacesWe study the preservation and stability of synchronization subspaces in tensor products of finite-dimensional Hilbert spaces. Given self-adjoint operators TA and TB on local subsystems, the…Nicholas R. Allgood·Apr 20, 2026SaveLearn
Eigenvalue asymptotics of M\"uller minimizers for atoms and moleculesWe study the spectral properties of minimizers of the M\"uller functional for atoms and molecules with N electrons and total nuclear charge Z. We prove that under some suitable assumptions on Z…Rupert L. Frank, Long Meng, Phan Thành Nam et al.·Apr 20, 2026SaveLearn
Bounding relative entropy for non-unitary excitations in quantum field theoryWe show how one can use the convexity of non-commutative Lp norms to bound the relative entropy between a faithful state on a von Neumann algebra and an arbitrary excitation thereof. Our results…Markus B. Fröb, Leonardo Sangaletti·Apr 20, 2026SaveLearn
Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski spaceWe propose a gauge model with the SU(2) symmetry, which describes a gravitational interaction of fundamental fermions (leptons and quarks) in the Minkowski space. In the Standard Model one uses a…Nikolay Marchuk·Apr 20, 2026SaveLearn
Moments at the hard edge and Rayleigh functionsMotivated by the analogy between spectral moments of random matrices and associated zeta functions, we study inverse power trace moments of the Laguerre ensemble of dimension N and inverse…Anna Maltsev, Nick Simm·Apr 20, 2026SaveLearn
Spherical singularities in compactified Ruijsenaars--Schneider systemsWe investigate certain Liouville integrable systems constructed earlier via reduction of the quasi-Hamiltonian double of SU(n). These systems live on compact connected symplectic manifolds…L. Feher, H. R. Dullin·Apr 20, 2026SaveLearn
Synthetic Seismograms from Particle Bed Interactions and Turbulent River Flow: Modeling and Comparison with ObservationsWe present a physics based numerical model that estimates the seismic radiation generated by water sediment flows in gravel-bed rivers. The model reproduces the trajectories of individual particles,…Sara Nicoletti, Giacomo Belli, Omar Morandi et al.·Apr 20, 2026SaveLearn
Semiclassical resonances under local magnetic fieldsWe study resonances for the semiclassical magnetic Laplacian in the full plane with a compactly supported magnetic field in the framework of semiclassical complex scaling and black box scattering…Pavel Exner, Ayman Kachmar·Apr 20, 2026SaveLearn
On the asymptotic duality of spectral variances in random matrix theory and the "1/6" formulaA "mysterious" relation between the number variance and the variance of the L-th ordered eigenvalue, first suggested by French et al. [Ann. Phys. 113, 277 (1978)], is revisited and proven to be…Peng Tian, Roman Riser, Eugene Kanzieper·Apr 18, 2026SaveLearn
The difference variational bicomplex and multisymplectic systemsThe difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of various systems.…Linyu Peng, Peter E. Hydon·Apr 18, 2026SaveLearn
Continuum honeycomb Schrödinger operators with incommensurate line defectsWe study wave propagation in 2D honeycomb structures with a non-commensurate or ``irrational'' line defect or edge. Our model is a Schrödinger operator which interpolates, across the edge,…Pierre Amenoagbadji, Michael I. Weinstein·Apr 17, 2026SaveLearn
Quantum Reference Frames and Correlation GeometryThe aim of this paper is to provide a largely self-contained, compact and comprehensible introduction to the basic ideas behind correlation geometry, which underlies the theory of causal fermion…Claudio F. Paganini·Apr 17, 2026SaveLearn
Universal dualities for Wilson loops in lattice Yang-MillsWe identify a universal finite-N structure underlying Wilson loop expectations in lattice Yang--Mills, in any dimension d≥ 2, for gauge group U(N), and for arbitrary smooth central…Thibaut Lemoine·Apr 17, 2026SaveLearn
Identification of optimal history variables and corresponding hereditary laws in linear viscoelasticityWe develop an operator-theoretic formulation of hereditary constitutive models and characterize optimal finite-rank internal-variable approximations in the sense of Kolmogorov N-widths. The history…Ignacio Romero, Michael Ortiz·Apr 17, 2026SaveLearn
Embedding formulae for diffraction problems on square latticesWe develop embedding formulae for all possible diffraction problems with Dirichlet scatterers on square lattices using the Wiener--Hopf perspective. The embedding formula expresses solutions for…A. I. Korolkov, A. V. Kisil·Apr 17, 2026SaveLearn
Hamiltonian Monodromy in a Tavis-Cummings System with an A2 SingularitySingular Lagrangian fibrations arising from three-degree-of-freedom integrable Hamiltonian systems remain largely unexplored. While several results describe the global structure of large classes of…Konstantinos Efstathiou, Gabriela Jocelyn Gutierrez-Guillen, Pavao Mardešić et al.·Apr 16, 2026SaveLearn
An inversion formula for the 2-body interaction given the correlation functionsGiven a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential in terms of the…Fabio Frommer, Tobias Kuna, Dimitrios Tsagkarogiannis·Apr 16, 2026SaveLearn
The n-Point Function of t-Core Partitions and Topological VertexIn this paper, we study the n-point function of t-core partitions. The main tool is the topological vertex, originally developed to study the topological string theory for toric Calabi--Yau…Chenglang Yang·Apr 16, 2026SaveLearn
On the inverse scattering transform for the KdV equation with summable initial dataWe consider the Cauchy problem for the Korteweg--de Vries equation with real initial data q that is both L1 and L2 summable and supported on (0,∞). Using the left reflection coefficient…Alexei Rybkin·Apr 15, 2026SaveLearn
Open WDVV equations and -systemsThe idea of a -system was introduced by Veselov in the study of rational solutions of the WDVV equations of associativity. These are algebraic/geometric conditions on the set of covectors…Alessandro Proserpio, Ian A. B. Strachan·Apr 15, 2026SaveLearn
On hyperbolic and rational solutions of the cubically nonlinear Schr\"odinger equationIn a previous article we have proved non-existence of certain "solutions" of the cubically nonlinear Schr\"odinger equation in the general case, and presented solutions in the non-generic case. -- In…Hans Werner Schürmann, Valery Serov·Apr 15, 2026SaveLearn
On Exponentially Long Prethermalization Timescales in Isolated Quantum SystemsWe study prethermalization in time-independent quantum many-body systems on a d-dimensional lattice with an extensive local Hamiltonian H=N+ P, in the regime where 1.…Matteo Gallone·Apr 15, 2026SaveLearn
A note on spinor fields in spherical symmetryBy employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries as the space-time…Stefano Vignolo, Luca Fabbri·Apr 15, 2026SaveLearn
Metric-Deformed Heisenberg Algebras and the q-Dirac OperatorWe introduce a family of metric-deformed Heisenberg algebras M1 and M2, where the commutation relations are expressed directly in terms of the components of a diagonal Lorentzian metric. We…Julio César Jaramillo Quiceno·Apr 14, 2026SaveLearn