Factorization method for a clamped obstacle from near-field measurements via a far-field transformationThis paper considers an inverse shape problem for recovering an unknown impenetrable clamped obstacle in two dimensions from near-field point source and dipole measurements for the biharmonic…General Ozochiawaeze, Isaac Harris·Sep 17, 2026SaveLearn
Asymmetric phase transitions in random noncommutative geometriesIn this paper, we study the asymmetric phases of the quartic type (0, 1) and (1, 0) Dirac en- sembles via three approaches: the Riemann-Hilbert approach, bootstrapping with positivity, and…Benedek Bukor, Masoud Khalkhali, Samuel Kováčik et al.·Sep 17, 2026SaveLearn
A Cumulative Framework for Solid DeformationA cumulative variational framework for solid deformation is proposed. Its central organizing principle is the recursive combination of three structural components of one material body: a compatible…Lev Steinberg·Sep 17, 2026SaveLearn
Classification of pairs of second-order Hamiltonian operators and hydrodynamic type systems in six componentsFollowing a recent characterisation of hydrodynamic systems with second-order Hamiltonian structure in terms of alternating three-forms on the projective space, we present a complete classification…Giorgio Gubbiotti, Lambertus Van Geemen, Pierandrea Vergallo·Sep 17, 2026SaveLearn
Reconstructability of Inverse Problems under Symmetry: Separating Structural, Effective, and Physical Upper BoundsIn our previous work we introduced the Reconstruction Dimension, an upper bound on the reconstructable degrees of freedom determined solely by the symmetry. In actual physical systems, however, the…Isshin Arai·Sep 17, 2026SaveLearn
Contact Large Deviations of Stochastic Vector BundlesLarge deviation theory lacks a geometric foundation for its rate functions and fluctuation symmetries. This paper develops a contact large deviation theory on stochastic vector bundles, in which the…D. Y. Zhong·Sep 17, 2026SaveLearn
A c-transform optimal transport method for high-contrast freeform reflector designDesign of high-contrast freeform reflectors is challenging, as the presence of zero-intensity regions leads to degeneracy in the associated Monge-Ampere-type equation. A common remedy is to add a…Gang Bao, Yixuan Zhang, Jiaqi Yu·Sep 17, 2026SaveLearn
The inverse problem of time-dependent density functional theory on the torusWe prove that, for any given sufficiently regular one-particle density, there exists a unique external potential for which the solution to the many-body Schrödinger equation has this prescribed…Asbjørn Bækgaard Lauritsen, Mathieu Lewin, Jakob Oldenburg·Sep 17, 2026SaveLearn
Eberlein convolution as an inner product and quantitative Bombieri--Taylor resultsWe present a simple argument providing a very general Bombieri--Taylor-type result to compute Bragg peaks in diffraction theory as limits. At its abstract core the argument relies on considering the…Daniel Lenz, Nicolae Strungaru·Sep 16, 2026SaveLearn
Boundary parity in the mirror model on the Manhattan latticeWe study a finite-domain event for the mirror model on the Manhattan lattice: every boundary-to-boundary trajectory crosses a marked connector an even number of times, while internal cycles are…Jian Gu, Qin Hao·Sep 16, 2026SaveLearn
Site-scale, Multi-resolution WRF Wind Modeling with Observational Nudging for Methane Emission Monitoring in the Permian BasinAccurate methane source localization and emission-rate estimation at oil and gas facilities require wind fields that resolve site-scale spatial and temporal variability, which cannot be characterized…Ehsan Kharazmi, Erin Menezes, George Karniadakis et al.·Sep 16, 2026SaveLearn
The spectral ζ-function of Sturm--Liouville operators with N generalized point potentialsThis work analyzes the spectral zeta function associated with regular and singular Sturm--Liouville operators endowed with N generalized point potentials. The point interactions are characterized…Guglielmo Fucci, Jonathan Stanfill·Sep 16, 2026SaveLearn
Wehrl-type entropy problem for compact connected semisimple Lie groupsThis paper solves the Wehrl-type entropy problem for arbitrary compact connected semisimple Lie groups. Let G be a compact connected semisimple Lie group, and let π:G U(Vλ) be a…Haonan Zhang·Sep 16, 2026SaveLearn
Contact canonoid maps and their conserved and dissipated quantitiesWe study conserved and dissipated quantities associated with contact canonoid transformations and their extension to possibly singular smooth maps. The defining condition is imposed on the…R. Azuaje·Sep 16, 2026SaveLearn
Some Considerations on the Fluid-Dynamical Limit of Particle SystemsIn this note we review and compare mathematical procedures aimed at rigorously deriving fluid-dynamic descriptions of classical particle systems in the large-scale limit of Hamiltonian dynamics.…Mario Pulvirenti, Sergio Simonella·Sep 16, 2026SaveLearn
Pathology-Free Real-Space Renormalization Group Theory on an Inverse Limit SpaceIt has been over fifty years since Kenneth Wilson had his Nobel-prize-winning ideas on the renormalization group. In this time frame, despite many attempts, no mathematical results have implemented…Fabio Arz·Sep 16, 2026SaveLearn
Uniform displacement bounds and Gibbs limits for periodic one-dimensional Riesz gasesFor the neutral periodic one-dimensional Riesz gas with pair potential locally -|x|a, 0<a<1, we prove a particle-displacement variance bound of order β-1, uniformly in the number of…Yan Ru Pei·Sep 15, 2026SaveLearn
Critical and near-critical influence bounds for ferromagnetic Ising modelsFor a ferromagnetic Ising model on a graph of maximum degree Δ3, we prove a bound of order n on every row of the influence matrix at the tree uniqueness threshold. The estimate is…Yan Ru Pei·Sep 15, 2026SaveLearn
Canonical and symplectic analysis of the Holst action in the G→ 0 limitBy using the Dirac and symplectic formalisms, the analysis of the Holst action in the G → 0 limit is performed. We study the theory's full canonical structure and symmetries. In…Victor Julian Pérez-Aquino, Alberto Escalante·Sep 15, 2026SaveLearn
An additional possibilities of the standard method of inverting the Radon transformThe problem of inverting the Radon integral transform in finite-dimensional Euclidean space is considered. The relevance of this topic for probing issues is indicated. It is noted that for the latter…D. S. Anikonov, S. G. Kazantsev, D. S. Konovalova·Sep 15, 2026SaveLearn
Monodromy Eigenvectors for Difference Equations with Root-of-Unity StepA qKZ-type discrete flat connection with multiplicative step p has monodromy operators when p is a root of unity. The monodromy operators are commuting endomorphisms of the connection. We…Vitaly Tarasov, Alexander Varchenko·Sep 15, 2026SaveLearn
Higher abelian gauge theory in BV formalismA BV structure is constructed on the space of zero modes of a quadratic elliptic higher abelian gauge theory. The associated BV integral is shown to be independent of the choice of zero-mode…Shuhan Jiang·Sep 15, 2026SaveLearn
Diassociative conformal algebras and their deformation cohomologyIn this paper, we introduce diassociative conformal algebras that unify both associative conformal algebras and diassociative algebras. We show that the category of diassociative conformal algebras…Anupam Sahoo, Apurba Das·Sep 15, 2026SaveLearn
Operator-theoretic and analytic properties of a driven single-mode Kerr cavity in Bargmann spaceWe study the stationary spectrum of a coherently driven single-mode Kerr cavity in Bargmann--Fock space. For positive Kerr coupling the Hamiltonian is self-adjoint, bounded below, and has compact…Maciej Janowicz·Sep 15, 2026SaveLearn
Reflectionless edge states in Dirac models of topological insulatorsWe study an effective model of topological insulators joined along a bent interface. The Hamiltonian is a Dirac operator D = D1σ1 + D2σ2 + κ(x) σ3 on…Alexis Drouot·Sep 15, 2026SaveLearn