Wildfire Propagation Modeling using Satellite-Derived Parameters and Generalized Elliptical FramesWildfires pose significant threats to ecosystems and communities, yet accurately modeling fire spread remains challenging, particularly in regions where environmental and fuel data are scarce or…Hengameh R. Dehkordi·Dec 11, 2025SaveLearn
Hydrodynamics of Multi-Species Driven Diffusive Systems with Open Boundaries: A Two-Tasep StudyIn this short note, we review a recently developed method for analysing multi-component driven diffusive systems with open boundaries. The approach generalises the extremal-current principle known…Ali Zahra·Dec 10, 2025SaveLearn
The von Neumann algebraic quantum group SUq(1,1) Z2 and the DSSYK modelThe double-scaling limit of the SYK (DSSYK) model is known to possess an underlying Uq(su(1,1)) quantum group symmetry. In this paper, we provide, for the first time, a von…Koen Schouten, Mikhail Isachenkov·Dec 10, 2025SaveLearn
Multiplicative Renormalization in Causal Perturbation TheoryWe construct multiplicative renormalization for the Epstein--Glaser renormalization scheme in perturbative Algebraic Quantum Field Theory: To this end, we fully combine the Connes--Kreimer…Jonah Epstein, Arne Hofmann, David Prinz·Dec 10, 2025SaveLearn
Effective Operators in the Theory of Composites: Hilbert Space FrameworkIn this chapter, the Hilbert space framework in the mathematical theory of composite materials is introduced for studying the properties of effective operators. The goal is to introduce some of the…Aaron Welters·Dec 10, 2025SaveLearn
Mathematical and numerical studies on ground states of trapped unitary Fermi gasesWe mathematically and numerically study the ground states of unitary Fermi gases. Starting from the three-dimensional nonlinear Schr\"odinger equation that contains a quantum pressure term and an…Yongyong Cai, Xinran Ruan, Yanzhi Zhang·Dec 10, 2025SaveLearn
The Dirac and Rarita-Schwinger equations on scalar flat metrics of Taub-NUT typeWe construct a scalar flat metric of Taub-NUT type whose total mass can be negative. The standard Taub-NUT metric and its negative NUT charge counterpart serve as particular examples, for which the…Xiaoman Xue, Chuxiao Liu·Dec 10, 2025SaveLearn
Graph Quantum Magic Squares and Free SpectrahedraRecently De les Coves, Drescher and Netzer showed that an analogue of the Birkhoff--von Neumann theorem fails in the quantum setting. Motivated by this and questions arising in the study of quantum…Francesca La Piana·Dec 9, 2025SaveLearn
Dubrovin duality for open Hurwitz flat F-manifoldsWe prove that the Dubrovin dual of a Hurwitz Frobenius manifold extends naturally to an F-manifold with compatible flat connection on the universal curve, in the sense of the open WDVV equations. A…Alessandro Proserpio, Ian A. B. Strachan·Dec 9, 2025SaveLearn
Character Formulas for Kirillov-Reshetikhin Modules via Folding of Supercharacters of gl(M|N)We derive decomposition formulas for supercharacters of quantum affine ortho-symplectic superalgebras and twisted quantum affine superalgebras into supercharacters of their finite-type quantum…Zengo Tsuboi·Dec 9, 2025SaveLearn
Bootstrapping Noncommutative Geometry with Dirac EnsemblesThis paper surveys a bootstrap framework for random Dirac operators arising from finite spectral triples in noncommutative geometry. Motivated by a toy model for quantum gravity to replace…Masoud Khalkhali, Nathan Pagliaroli·Dec 9, 2025SaveLearn
Limit absorption and Green function estimates for matrix-valued periodic operatorsThe boundary value of the resolvent of a generic periodic tight-binding Hamiltonian with matrix symbols is shown to satisfy a limit absorption principle which is continuous in energy in dimensions…Miguel Ballesteros, Gerardo Franco Cordova, Hermann Schulz-Baldes·Dec 9, 2025SaveLearn
Some Difference Relations for Orthogonal Polynomials of a Continuous Variable in the Askey SchemeOrthogonal polynomials of a continuous variable in the Askey scheme satisfying second order difference equations, such as the Askey-Wilson polynomial, can be studied by the quantum mechanical…Satoru Odake·Dec 8, 2025SaveLearn
Bethe equations for the critical three-state Potts spin chain with toroidal boundary conditionsIn this paper, we consider the parameterization of the spectra of the three-state critical Potts quantum chain with integrable twisted boundary conditions in terms of Bethe ansatz type equations. The…M. J. Martins·Dec 8, 2025SaveLearn
A Geometric Theory of Surface Elasticity and AnelasticityIn this paper we formulate a geometric theory of elasticity and anelasticity for bodies containing material surfaces with their own elastic energies and distributed surface eigenstrains. Bulk…Arash Yavari·Dec 8, 2025SaveLearn
Teleportation=Translation: Continuous recovery of black hole informationThe Teleportation=Translation conjecture posits that the recovery of information from a black hole is dual to a geometric translation in the emergent spacetime. In this paper, we establish…Jeongwon Ho·Dec 7, 2025SaveLearn
Randomness before Probability, Quantised Gas Laws Directly from Objective Martin-Lof Randomness of Detailed DataWe show that objective Martin-Lof randomness and Kolmogorov complexity of instantaneous detailed data lists for N helium gas atoms on M possible energies is necessary and sufficient to directly…David Sherwell·Dec 7, 2025SaveLearn
Asymptotic stability and ergodic properties of quantum trajectories under imperfect measurementWe investigate the asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement, extending previous results established for the ideal case of perfect measurement.…Nina H. Amini, Tristan Benoist, Maël Bompais et al.·Dec 5, 2025SaveLearn
Stochastic Reconfiguration with Warm-Started SVDThe combination of the variational Monte Carlo (VMC) method with deep learning wave function architectures has led to several successes in ground-state calculations of quantum many-body systems in…Dexuan Zhou, Huajie Chen, Cheuk Hin Ho et al.·Dec 5, 2025SaveLearn
Two-Point Vortex Confinement in a simply connected domainThis paper investigates the vortex confinement property of the two-point vortex system in a planar domain. We compute the time over which initial point vortices around a stable stationary point…Slim Ibrahim, Ruixun Qin, Shengyi Shen·Dec 5, 2025SaveLearn
A Hierarchy of Entanglement Cones via Rank-Constrained C*-Convex HullsThis paper systematically investigates the geometry of fundamental quantum cones, the separable cone (P+) and the Positive Partial Transpose (PPT) cone (PPPT),…Mohsen Kian·Dec 5, 2025SaveLearn
A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line DefectsIn this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The…Habib Ammari, Erik Orvehed Hiltunen, Ping Liu et al.·Dec 5, 2025SaveLearn
The swap transpose on couplings translates to Petz' recovery map on quantum channelsIn [Ann. Henri Poincar\'e, 22 (2021), 3199-3234], De Palma and Trevisan described a one-to-one correspondence between quantum couplings and quantum channels realizing transport between states.…Gergely Bunth, József Pitrik, Tamás Titkos et al.·Dec 4, 2025SaveLearn
A quantitative Hohenberg-Kohn theorem and the unexpected regularity of density functional theory in one spatial dimensionIn this paper we investigate the (Kohn-Sham) density-to-potential map in the case of spinless fermions in one spatial dimension, whose existence has been rigorously established by the first author in…Thiago Carvalho Corso, Andre Laestadius·Dec 4, 2025SaveLearn
On the weak solutions to the navier-Stokes equations: a possible gap related to the energy equalityIt is well known that a Leray-Hopf weak solution enjoys an energy inequality. Here, we investigate the energy equality related to a suitable weak solution to the Navier-Stokes initial boundary value…Paolo Maremonti·Dec 4, 2025SaveLearn