2677 papers
This paper introduces Probability Matching Interval Coding (PMATIC), a model-agnostic algorithm that enables robust, high-performance lossless compression by tolerating bounded prediction mismatches between compressor and decompressor in deep learning-based systems.
This paper establishes a framework for limit-stage filter constructions in countable-support symmetric iterations that ensures the resulting models satisfy ZF and Dependent Choice, enabling the controlled construction of models where the Axiom of Choice fails for specific families of sets while preserving DC.
This paper provides a self-contained analytic proof of the continued fraction identity by transforming the classical Gauss continued fraction for evaluated at and demonstrates its super-exponential convergence advantage over the Gregory–Leibniz series.
This paper derives a new closed-form formula for the characteristic function of the asymmetric Student's -distribution by establishing a novel integral representation involving the sine function and the exponential integral, which subsequently yields a closed-form expression for a specific limit involving modified Bessel and Struve functions.
This paper confirms the Bader-Kropholler-Vankov conjecture by proving that homological filling functions over a ring with a discrete norm are quasi-isometry invariants for all groups of type , utilizing a novel technique of equipping free chain complexes with geometric structures to extend cellular constructions to the algebraic setting.
This paper generalizes and improves upon existing results regarding the asymptotic behavior of the sum of the -th powers of the -th normalized Fourier coefficients of the -th symmetric power -functions for primitive holomorphic cusp forms, specifically for positive integers and satisfying .
This paper establishes a hydrodynamic limit for a multiscale stochastic compartmental model of hematopoiesis, proving that the dynamics of stem, immature, and mature cells converge to a deterministic system of partial differential equations with boundary conditions as the number of immature compartments approaches infinity.
This paper resolves the isomorphism problem for reduced finitary power monoids of cancellative monoids by proving that if one monoid is torsion, the power monoids are isomorphic if and only if the base monoids are, thereby confirming the result for torsion groups while leaving the general group case open.
This paper introduces a novel, exactly solvable ordinary differential equation model incorporating an Allee effect to study rate-induced tipping, featuring finite-time extinction, a derived integral inequality for tipping conditions, a superior numerical method, and a practical application to the historical rise and fall of Japanese inland fisheries.
This paper establishes an equivalence between a conjecture by Neumann and Praeger concerning Kronecker classes in algebraic number fields and a separate conjecture regarding cliques in derangement graphs within combinatorics.
This paper establishes the global rigidity of hyperbolic inversive distance circle packings on the 2-sphere, and equivalently of Koebe polyhedra in the Beltrami-Klein model, under mild assumptions on vertex links, thereby generalizing previous rigidity results and the uniqueness part of the Koebe-Andreev-Thurston Theorem to cases where adjacent circles need not touch.
This paper establishes a non-standard analysis framework that unifies coherent risk measures and their finite-sample estimators through hyperfinite representations, yielding discrete Kusuoka formulae, plug-in consistency results, and asymptotic normality via a transparent probability-to-statistics dictionary.
This paper demonstrates that the infinite random Heisenberg XXZ spin- chain exhibits slow, logarithmic information propagation characteristic of many-body localization within any arbitrary fixed energy interval, provided the interaction and disorder parameters fall within a regime determined solely by that energy interval.
This paper claims to derive a strictly closed-form, non-iterative formula for the partition function by utilizing the Simplicial Spectral Decomposition of partition polytopes within the framework of root systems and Ehrhart theory.
This paper establishes reverse square function estimates for functions with Fourier support near degenerate curves (for ), which are then applied to derive sharp Strichartz estimates for fractional Schrödinger equations on the one-dimensional torus and new local smoothing estimates in modulation spaces.
This paper establishes connections between the infinite and finite sunflower properties and canonical Ramsey properties for countable ultrahomogeneous relational structures, proving their equivalence or implication under specific conditions and demonstrating that these properties hold for various classes including free amalgamation classes and finite metric spaces.
This paper introduces a scalable semantic search system for a corpus of 9.2 million mathematical theorems, demonstrating that representing theorems with natural-language descriptions significantly improves retrieval accuracy for both specific theorems and entire papers compared to existing baselines.
This paper presents new constructions of capsets in using algebraic equations over field extensions, specifically yielding the smallest known complete capsets with sizes proportional to the best known lower bounds.
This paper establishes a structure theorem for the connected automorphism groups of smooth complete toroidal horospherical varieties by characterizing extendable Demazure roots, thereby providing a criterion for their reductivity and proving the K-unstability of certain -bundles over rational homogeneous spaces.
This paper demonstrates that a canonical extension of generalized Dynkin diagrams generates families of Kac-Moody groups, such as the series relevant to string theory, which satisfy homological stability and exhibit emergent structures upon stabilization, utilizing homotopy decompositions of their classifying spaces.