2112 papers
This paper revisits and expands the theory of Dunford-Pettis multilinear operators by introducing new classes, establishing their relationships with existing and emerging operator ideals, and analyzing inclusion and coincidence conditions.
This paper introduces ALMTON, a globally convergent third-order Newton method for unconstrained nonconvex optimization that achieves an complexity by using adaptive quadratic regularization to maintain a tractable cubic model solvable via a single semidefinite program per iteration, thereby outperforming existing third-order and second-order baselines in convergence consistency and robustness.
This paper investigates Ulrich bundles on smooth toric threefolds with Picard number 2 by constructing resolutions and monads for bundles of arbitrary rank, classifying those pulled back from , and proving that these varieties are Ulrich wild.
This paper introduces LS-ReCoNN, a novel deep learning framework that solves parametric transmission problems by decomposing the solution into regular and singular components and employing a least-squares-based training strategy to accurately capture interface discontinuities and junction singularities across diverse parameter values.
This paper investigates the fundamental structural properties and numerical prevalence of finite algebras within locally finite varieties of nonassociative linear algebras over finite fields, without assuming associativity or the Lie property.
This paper establishes that sufficiently large topologically generating sets in connected compact, amenable, and reductive algebraic groups are necessarily redundant, providing quantitative bounds linked to finite simple groups of Lie type and demonstrating that these findings partially resolve Gelander's conjectures by showing they follow from the Wiegold conjecture.
This paper establishes that the space of infinite circle patterns in the Euclidean plane parameterized by discrete harmonic functions of finite Dirichlet energy forms an infinite-dimensional Hilbert manifold homeomorphic to the Sobolev space of half-differentiable functions, equipped with a Riemannian metric derived from a hyperbolic volume functional that relates to a symplectic form via an analogue of the Hilbert transform, thereby connecting these patterns to the Weil-Petersson class of the universal Teichmüller space.
This paper surveys averaging techniques in stochastic gradient methods, covering their theoretical foundations, modern developments in machine learning applications, finite-sample behaviors, and future research directions.
This paper refines the understanding of maximal faces in the cone of completely positive matrices by proving that the exact lower bound on their dimensions is for odd , and establishing a new upper estimate between and for even .
This paper establishes convex body domination results for generalized vector-valued commutators of operators that already admit such domination, deriving strong type estimates and characterizing the associated BMO spaces.
This paper constructs a fractured structure on the -topos of condensed anima to identify a jointly conservative collection of points and resolves a question by Clausen by demonstrating that the category of extremally disconnected spaces lacks all fibers.
This paper computes the magic labeling enumeration function and its generating function for pseudo-line and pseudo-cycle graphs, thereby extending previous work by Bóna et al. and providing explicit solutions where Stanley's theorem only guarantees a polynomial structure.
This paper establishes the global well-posedness and proves that solutions to the nonlinear three-dimensional thermoelasticity system with positive temperature globally converge to an equilibrium state with a uniform temperature distribution determined by energy conservation.
This paper defines analogs of -volume, Epstein surfaces, and Liouville action within the correspondence between anti-de Sitter 3-space and -conformal metrics, applying these constructions to derive finite invariants for positive curves in flag manifolds.
This paper establishes the global existence of weak solutions for arbitrarily large initial data in a multi-dimensional quasilinear thermoviscoelastic system with temperature-dependent viscosity, extending previous one-dimensional results to higher dimensions without requiring smallness conditions on the data.
This paper introduces and analyzes a canonical cover of the future cover for sofic shifts, which either coincides with the original future cover or constitutes a genuine extension depending on the specific case.
This paper investigates the structural and combinatorial properties of Bi-Cayley graphs over cyclic groups of order , establishing that they are connected, biregular, have girth three and diameter five, while also extending these findings to arbitrary finite groups under specific conditions.
This paper presents the first construction of a complex Hadamard matrix of order 94 by modifying a fundamental block method to utilize specific circulant -matrices of order 47, which were identified through computer-aided search.
This paper proposes a topic-sensitive hyperintensional semantics to model ignorance as a content-dependent attitude, offering sound and complete logical systems for three distinct forms of ignorance while resolving the problem of logical omniscience by accounting for an agent's capacity to grasp proposition content.
This paper establishes that (odd hole, hammer, )-free graphs are perfectly divisible and provides specific polynomial and linear bounds on the chromatic number for various classes of short-holed graphs.