Action-Driven Flows for Causal Variational PrinciplesWe introduce action-driven flows for causal variational principles, being a class of non-convex variational problems emanating from applications in fundamental physics. In the compact setting, Hölder…Felix Finster, Franz Gmeineder·May 18, 2026SaveLearn
Multiple SLEs for κ∈ (0,8): Coulomb gas integrals and pure partition functionsIn this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE(κ) partition functions as…Yu Feng, Mingchang Liu, Eveliina Peltola et al.·May 18, 2026SaveLearn
The Aesthetic Asymptotics of the Mayer Series Coefficients for a Dimer Gas on a Regular LatticeWe conjecture that for all regular lattices b(n) is asymptotically of the form in eq.(A1). (-1)n+1 b(n) = exp( k(-1) n + k(0) ln(n) + k(1) / n + k(2) / n(2)...) (A1) We restrict testing this to…Paul Federbush·May 18, 2026SaveLearn
Inverse scattering for the linear system associated with the coupled Gerdjikov--Ivanov equationsWe consider a certain first-order linear system of ordinary differential equations, and we analyze the direct and inverse scattering problems for that linear system. The linear system involves two…Ramazan Ercan·May 17, 2026SaveLearn
Charge functions for odd dimensional partitionsTo construct a BPS algebra with representations furnished by n-dimensional partitions, the first step is to find the eigenvalues of the Cartan operators acting on them. The generating function of the…Shang Xiang, Hao Feng, Keyou Zhuo et al.·May 17, 2026SaveLearn
On the relativistic effect in the Dirac--Fock theoryIn this paper, we study the error bound between the Dirac--Fock ground-state energy and the Hartree--Fock ground-state energy, a quantity known as the relativistic effect in quantum mechanics. We…Long Meng·May 17, 2026SaveLearn
Any topological recursion on a rational spectral curve is KP integrableWe prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability…Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.·May 17, 2026SaveLearn
Nonlocal thermal Willis coupling in laminated conductorsBuilding on Willis' homogenization framework, recent work has revealed that heterogeneous conductors exhibit macroscopic thermal bianisotropy, in which the macroscopic heat flux and entropy are…Chunlin Wu, Gal Shmuel, Huiming Yin·May 16, 2026SaveLearn
Twisted Bilayer Graphene in Commensurate AnglesWe study a 2D continuum model of electronic transport in twisted bilayer graphene (TBG) at commensurate angles. We use two honeycomb potentials with the symmetries of graphene, either sharing a…Tal Malinovitch·May 16, 2026SaveLearn
Notes on obstructions in the hyperbolic Clifford algebra bundle structureStarting from a general analysis of obstruction classes, we develop the investigation of obstructions associated with the bundle structure of the hyperbolic Clifford algebra. By taking into account…J. M. Hoff da Silva, E. Notte-Cuello·May 15, 2026SaveLearn
Epstein vector zeta functions related to the ADE Lie algebrasWe introduce a vector-valued generalization of the Epstein zeta functions associated with the root lattices of ADE-type Lie algebras. The quadratic forms defining these lattices correspond to the…M. Olshanetsky·May 15, 2026SaveLearn
Spectral separation of variables from equivalent Lagrangian systemsWe investigate the dynamical equivalence of quadratic Lagrangians and its relation to separation of variables. We show that requiring two quadratic Lagrangians to generate the same Euler--Lagrange…Mattia Scomparin·May 15, 2026SaveLearn
Thermodynamic Invariants of Coupled Channels: A Many-Channel Tolman-Ehrenfest EffectWhen multiple thermodynamic channels are coupled, single-channel equilibrium conditions fail. Extending the Tolman--Ehrenfest effect to the entropy manifold, we derive the unique n-channel…Benjamin Hamblin, Victor Calo, Klaus Regenauer-Lieb·May 15, 2026SaveLearn
Soliton-like solutions of the Camassa--Holm equation with variable coefficients and a small dispersionThe paper deals with the Camassa--Holm equation with variable coefficients (vcCH equation) that is a direct generalization of the well known Camassa--Holm equation. We focus on the mathematical…Yuliia Samoilenko, Valerii Samoilenko·May 15, 2026SaveLearn
Harmonic functions on Tutte embeddings and linearized Monge-Ampère equationWe prove convergence of solutions of Dirichlet problems and Green's functions on Tutte harmonic embeddings to those of the linearized Monge--Ampère equation Lφh=0. More precisely, we…Mikhail Basok, Dmitry Chelkak, Benoît Laslier et al.·May 15, 2026SaveLearn
Singularities at the vertex of connected angular inhomogeneities under thermal and elastic loadingThis paper investigates the singularities at the vertex of multiply connected angular inhomogeneities for heat conduction and elastic deformation. With the aid of Eshelby's equivalent inclusion…Yuanpeng Yang, Huiming Yin, Chunlin Wu·May 15, 2026SaveLearn
Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equationsConservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonlinear…F. Güngör, C. Özemir·May 14, 2026SaveLearn
Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rodsWe study the weakly nonlinear saturation of the flutter instability of a planar Cosserat rod in a viscous fluid driven by a terminal follower force. This instability, established in our preceding…Mohamed Warda·May 14, 2026SaveLearn
Geometric construction of superintegrable Poisson projection chains via Poisson centralizersWe introduce a geometric framework for constructing superintegrable systems from Poisson centralizers (commutants) in the Lie-Poisson algebra S(g) of a complex semisimple Lie algebra.…Kai Jiang, Guorui Ma, Ian Marquette et al.·May 14, 2026SaveLearn
Discrete Dyson-Schwinger equationsWe develop the discrete set of Dyson-Schwinger equations for scalar fields and solve them for some cases. We show that their solutions are Gaussian in the continuum limit as expected from the…Marco Frasca·May 14, 2026SaveLearn
On the mathematical treatment of the Born-Oppenheimer approximationMotivated by a paper by B.T. Sutcliffe and R.G. Woolley, we present the main ideas used by mathematicians to show the accuracy of the Born-Oppenheimer approximation for molecules. Based on…Thierry Jecko·May 14, 2026SaveLearn
Nonlinear Multiphysics Modeling of Batch Digester Discharge Dynamics with Rheology-Driven Hydraulic Transport and Drainability CouplingBatch digester blowdown operations exhibit highly nonlinear hydraulic transport dynamics due to evolving slurry consistency and rheological uncertainty. This work presents a nonlinear dynamic model…José M. Campos-Salazar·May 13, 2026SaveLearn
Irregular SLE(4) martingales and isomonodromic deformationsWe consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the singularities,…Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola·May 13, 2026SaveLearn
Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noiseModeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We investigate the…Paolo Cifani, Franco Flandoli, Andrea Zanoni·May 13, 2026SaveLearn
Volumetric Growth in Linear Elasticity Driven by an Optimality CriterionUsing linearized elasticity as a convenient mechanical framework, we show that volumetric growth can be formulated as an optimization-driven process in which the growth tensor is determined…Rohan Abeyaratne, Roberto Paroni, Marco Picchi Scardaoni·May 13, 2026SaveLearn