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Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function

This paper establishes Gaussian and non-Gaussian limit theorems for non-linear additive functionals of stationary Gaussian fields with Gneiting-class non-separable covariance structures over anisotropically growing domains, demonstrating that these covariances are asymptotically separable in a cumulant sense to explicitly characterize convergence to either Gaussian or 2-domain Rosenblatt distributions based on long-range dependence conditions.

Nikolai Leonenko, Leonardo Maini, Ivan Nourdin, Francesca Pistolato2026-03-10🔢 math

Lefschetz filtration and Perverse filtration on the compactified Jacobian

This paper proves that the Lefschetz filtration and the perverse filtration on the cohomology of the compactified Jacobian of a complex integral curve with planar singularities are opposite to each other, thereby confirming a conjecture by Maulik and Yun.

Yao Yuan2026-03-10🔢 math

Online Bidding for Contextual First-Price Auctions with Budgets under One-Sided Information Feedback

This paper proposes a novel bidding algorithm for repeated contextual first-price auctions with budget constraints under one-sided information feedback, utilizing a robust regression method based on conditional quantile invariance to learn unknown competitor bid distributions and achieving order-optimal $\widetilde{O}(\sqrt{T})$ regret.

Zeng Fu, Jiashuo Jiang, Yuan Zhou2026-03-10🔢 math

Necessary conditions for existence of tensor invariants for general nonlinear dynamical systems

This paper establishes necessary conditions for the existence of tensor invariants in general nonlinear dynamical systems, with a specific focus on semi-quasihomogeneous systems, thereby extending the foundational work of Poincaré and Kozlov on integrability.

Zitong Zhao, Shaoyun Shi, Wenlei Li, Zhiguo Xu, Kaiyin Huang2026-03-10🔢 math

Nontrivial automorphisms of $\mathcal P(\omega)/\mathrm{Fin}$ in Cohen models

This paper establishes that nontrivial automorphisms of the Boolean algebra $\mathcal{P}(\omega)/\mathrm{Fin}$ exist in Cohen extensions of a $\mathsf{CH}$ model for any number of added reals $\kappa < \aleph_\omega$ , and extends this result to $\kappa \geq \aleph_\omega$ under additional hypotheses involving sage Davies trees.

Will Brian, Alan Dow2026-03-10🔢 math

An Investigation of Stabilization Scaling in Finite-Strain Virtual Element Methods for Hyperelasticity

This paper proposes a novel submesh-free, kernel-only stabilization for finite-strain virtual element methods in hyperelasticity that decouples deviatoric and volumetric channels to eliminate artificial stiffening in the nearly incompressible regime, thereby ensuring uniform stability and robustness across polygonal meshes.

Paulo Akira F. Enabe, Rodrigo Provasi2026-03-10🔢 math

Inhomogeneous central limit theorems for the voter model occupation times

This paper extends functional central limit theorems for voter model occupation times on lattices to the case of spatially inhomogeneous product initial distributions by leveraging the duality with coalescing random walks and Donsker's invariance principle.

Xiaofeng Xue2026-03-10🔢 math

Typical periodic optimization for dynamical systems: symbolic dynamics

This paper establishes a new theory of maximizing sets for dynamical systems with weak hyperbolicity, proving that typical Lipschitz functions possess unique periodic maximizing measures on shift spaces (including all sofic shifts) while identifying the specific structural conditions under which periodic optimization fails.

Wen Huang, Oliver Jenkinson, Leiye Xu, Yiwei Zhang2026-03-10🔢 math

Log Bott localization with non-isolated lci zero varieties

This paper establishes a logarithmic Bott localization formula for global holomorphic sections of $T_X(-\log D)$ on a compact complex manifold with a simple normal crossings divisor, extending the theory to non-isolated zero schemes that are local complete intersections and providing a current-theoretic formulation that identifies the local residue with a Coleff-Herrera current.

Maurício Corrêa, Elaheh Shahsavaripour2026-03-10🔢 math

On distance integral and distance Laplacian integral graphs

This paper establishes conditions for the distance integrality of specific graph families constructed via joins with cycles and for the distance Laplacian integrality of a particular class of dumbbell graphs.

S. Pirzada, Ummer Mushtaq, Leonardo de Lima2026-03-10🔢 math

On a noncommutative deformation of holomorphic line bundles on complex tori and the SYZ transform

This paper extends Kajiura's construction of noncommutative deformations of holomorphic line bundles on complex tori by viewing them through the lens of twisted trivial bundles and investigates their mirror duals within the SYZ framework.

Kazushi Kobayashi2026-03-10🔢 math

A Universal Approximation Theorem for Neural Networks with Outputs in Locally Convex Spaces

This paper establishes a universal approximation theorem proving that shallow neural networks with inputs in a topological vector space and outputs in a Hausdorff locally convex space are dense in the space of continuous mappings on compact subsets, thereby generalizing existing scalar-valued results to include Banach and Hilbert-valued approximations.

Sachin Saini2026-03-10🔢 math

An Elementary Proof of the Lovász Local Lemma Without Conditional Probabilities

This paper presents an elementary, self-contained proof of the Lovász Local Lemma that eliminates the need for conditional probabilities by relying solely on unconditional probability inequalities.

Igal Sason2026-03-10🔢 math

Multi-parameter determination in the semilinear Helmholtz equation

This paper establishes the unique determination of both linear and nonlinear coefficients in a semilinear Helmholtz equation from Neumann-to-Dirichlet boundary measurements using higher-order linearization and provides a Bayesian numerical reconstruction framework with uncertainty quantification.

Long-Ling Du, Zejun Sun, Li-Li Wang, Guang-Hui Zheng2026-03-10🔢 math

GKLO representations for shifted quantum affine symmetric pairs

This paper introduces shifted quantum affine symmetric pairs of split simply-laced type and constructs their GKLO representations, providing a complete proof that the proposed formulas define a valid representation.

Jian-Rong Li, Tomasz Przezdziecki2026-03-10🔢 math

$\{\pm 1\}$ -weighted zero-sum constants

This paper determines the values of the weighted zero-sum constants $E_{A,B}(n)$ , $C_{A,B}(n)$ , and $D_{A,B}(n)$ for the specific case where the weight sets are $A=\{\pm 1\}$ and $B=\{1\}$ in the cyclic group $\mathbb{Z}_n$ .

Krishnendu Paul, Shameek Paul2026-03-10🔢 math

On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions

This paper defines and analyzes a class of continuous functions on $[0,1]$ constructed via an infinite stochastic matrix and specific parameters, establishing criteria for their monotonicity, differentiability, and singularity while investigating the properties of their level sets.

S. O. Klymchuk, M. V. Pratsiovytyi2026-03-10🔢 math

Blaschke products and unwinding in higher dimensions

This paper establishes a necessary and sufficient condition for the convergence of infinite products of rational inner functions on the polydisk and extends the concepts of Malmquist-Takenaka bases and unwinding to higher dimensions.

Ronald R. Coifman, Jacques Peyrière2026-03-10🔢 math

One-parametric series of SO(1,1)-symmetric (sub-)Lorentzian structures on the universal covering of SL(2,R)

This paper investigates a one-parametric family of left-invariant, SO(1,1)-symmetric Lorentzian structures on the universal covering of SL(2,R), analyzing their global geodesic optimality and examining how these properties deform into those of a limiting sub-Lorentzian structure.

A. V. Podobryaev2026-03-10🔢 math

Existence of the longest arcs for left-invariant three-dimensional contact sub-Lorentzian structures

This paper establishes sufficient conditions for the existence of longest arcs in left-invariant three-dimensional contact sub-Lorentzian structures on solvable Lie groups and the universal cover of SL(2, R), addressing the nontrivial existence question inherent in such optimal control problems with unbounded control sets.