4007 papers
This paper presents an English translation and digitization of Sophie Kowalevski's 1889 French publication on the rotation of a rigid body about a fixed point, which introduced the famous Kovalevskaya Top.
The paper introduces the Inexact Bregman Sparse Newton (IBSN) method, a novel algorithm that combines a Bregman proximal point framework with a sparse Newton solver and Hessian sparsification to efficiently compute exact Optimal Transport distances for large-scale datasets while guaranteeing global convergence and outperforming existing state-of-the-art methods in both speed and precision.
This paper introduces a novel, simple, and compact control volume-based high-order limiter for the spectral volume method that effectively suppresses oscillations in discontinuous problems while preserving high-order accuracy and resolution through a nonlinear weighting reconstruction strategy.
This paper resolves Skolem's problem for -generalized Lucas sequences by characterizing their zero-distribution at negative indices and proving that the zero-multiplicity is exactly for all .
This paper establishes a base change framework to extend tensor function results from specific fields to general fields, thereby proving that slice rank is linearly bounded by geometric rank and is quasi-supermultiplicative for any 3-tensors over any field.
This paper presents a unified combinatorial-algebraic framework for constructing multicyclic codes of arbitrary dimension over by utilizing -dimensional primitive idempotents and multidimensional cyclotomic orbits to establish a direct equivalence between algebraic and combinatorial descriptions, derive a natural polynomial basis, and generalize BCH and Reed-Solomon bounds through an efficient constructive algorithm.
This paper establishes both Anderson localization and Hölder continuity of the integrated density of states for quasi-periodic Schrödinger operators on with non-constant analytic potentials and fixed Diophantine frequencies in the perturbative regime, utilizing a novel multi-scale analysis approach to control Green's functions.
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.
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.
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 regret.
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.
This paper establishes that nontrivial automorphisms of the Boolean algebra exist in Cohen extensions of a model for any number of added reals , and extends this result to under additional hypotheses involving sage Davies trees.
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.
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.
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.
This paper establishes a logarithmic Bott localization formula for global holomorphic sections of 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.
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.
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.
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.
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.