7189 papers
This paper establishes that uniform random triangulations with boundaries in high genus converge locally to half-plane hyperbolic triangulations when rooted at a boundary edge and to the Planar Stochastic Hyperbolic Triangulation when rooted at a random edge, providing a new construction of the former and a proof technique independent of the Goulden-Jackson recurrence.
This paper proposes a novel three-stage framework that combines inexpensive imperfect labels, supervised pretraining, and self-supervised refinement to achieve effective amortized optimization with significantly reduced costs and improved performance across challenging domains.
This paper introduces propositional team-based logics that expressively capture dual downward and upward closed properties through variants of inclusion atoms, establishes their normal forms reflecting this duality, and provides sound and complete natural deduction systems for each logic.
This paper introduces the "olive property" as a new sufficient condition for the non-existence of universal groups in certain cardinals, demonstrating that the class of groups satisfies this property despite failing the previously known SOP criterion.
The 21st edition of the Kourovka Notebook is a comprehensive collection of open problems in group theory, featuring 150 new challenges and updates on previous issues proposed by mathematicians worldwide since its inception in 1965.
This paper presents a method for constructing multiple-sum -series representing mixed mock modular forms, introduces multi-sum analogues of the Durfee identity, and explores their combinatorial interpretation through partitions.
This paper investigates the topological structure of Julia continua for disjoint-type transcendental entire functions, characterizing them as arc-like continua with span zero and demonstrating that a single such function can realize any arc-like continuum with a terminal point, while also resolving questions regarding accessibility from the Fatou set and the uniformity of escape to infinity.
This paper investigates the finer geometric properties of planar self-affine sets under the strong separation condition, characterizing Ahlfors regularity and slice dimensions in both sub- and super-unit Hausdorff dimension regimes while establishing new results on projection behavior and the relationship between affinity and Assouad dimensions.
This paper presents a systematic bottom-up approach to solving "The Hardest Logic Puzzle Ever" and its generalization, proving that an n-god puzzle is solvable if and only if the number of random gods is less than the number of non-random gods, while also providing an optimized solution for specific variants and an algorithm for finding solutions to the generalized problem.
This paper establishes a new characterization of continuous embeddings between generalized weighted Lorentz spaces under the condition by introducing a novel discretization technique that eliminates previous restrictions on parameters and weights imposed by duality-based methods.
This paper constructs finite-dimensional quantum groups of type Super A at even roots of unity, classifies their ribbon structures to establish non-semisimple modular categories, and demonstrates that the resulting link invariants distinguish knots that are indistinguishable by the Jones or HOMFLYPT polynomials.
This paper establishes the equality of the vanishing subspaces and within the John-Nirenberg spaces by demonstrating the decay of specific Morrey-type integrals, while also proving that coincides with modulo constants.
This paper introduces canonical classes in Selmer groups, derived from special cycles in unitary Shimura varieties and generalizing Heegner points, which are conjectured to play a central role in verifying the Beilinson–Bloch–Kato conjectures in rank 1.
This paper establishes that the tail probabilities of sums of independent uniform random variables are dominated by a Gaussian tail with matching variance, determining the precise multiplicative constant required for this sharp stochastic domination.
This paper characterizes the optimal rearrangement-invariant function norm on the left-hand side of the th order Sobolev inequality in -dimensional hyperbolic space for $1 \leq m < nm \geq 3$.
This paper introduces an adaptive multilevel Newton-type method that automatically switches to full Newton steps once quadratic convergence is achievable, thereby overcoming the initial slow convergence of standard Newton methods while consistently outperforming both first-order and classical multilevel approaches on strongly convex and self-concordant functions.
This paper proposes SBMA, a novel multiple access scheme that synergistically combines SCMA and BIA to overcome their individual limitations, achieving superior diversity and multiplexing gains alongside enhanced privacy and reduced decoding complexity through the design of advanced two-stage and joint message-passing decoders.
This paper investigates Kähler manifolds that share locally isometric submanifolds, proving that a weak relative of a projective Kähler manifold is necessarily a strict relative, while also introducing and exemplifying the concept of strict relatives.
This paper establishes that non-constant periodic brake orbits in natural Lagrangian systems on Riemannian manifolds are never action minimizers and are generally linearly or spectrally unstable under specific dimensional and non-degeneracy conditions, a result derived by analyzing local index contributions via Seifert collar coordinates and illustrated through explicit computations for classical mechanical systems.
This paper establishes novel criteria for the continuity of Itô integration under Skorokhod's J1 and M1 topologies, demonstrates that M1 tightness implies J1 tightness for local martingales under mild conditions, and applies these findings to derive weak convergence results for anomalous diffusion models driven by continuous-time random walks.