2572 papers
This paper confirms Oort's conjecture by proving that for even and , every geometric generic member of the maximal supersingular Ekedahl-Oort stratum in the moduli space of principally polarized abelian varieties has an automorphism group consisting only of , while also establishing the result for the specific case of for any prime .
This paper establishes the distributional stability of sparse inverse covariance matrix estimators by deriving explicit local Lipschitz bounds on the Kantorovich distance between their distributions under true and contaminated data scenarios, while also extending these results to standard covariance and eigenvalue estimators.
The paper constructs two CW-complexes, one homeomorphic to a complex with a single 2-cell, that share a common infinite covering space, thereby providing examples of small non-Leighton complexes.
The paper establishes that the diffeological de Rham cohomology of the quotient space , where is a dense subgroup of a Lie group , is isomorphic to the Lie algebra cohomology of the quotient , with defined as the ideal of elements in whose one-parameter subgroups lie entirely within .
This paper establishes necessary and sufficient conditions, involving topological properties, pseudo-monotone sequences, ramification indices, and polynomial closures, for the ring of polynomials in that map a subset of algebraic integers to algebraic integers to be nontrivial.
This paper computes specific Ext and Tor groups for general functors from a -linear additive category to vector spaces by relating them to the corresponding groups for additive functors, thereby providing new methods for calculating the group homology of general linear groups.
This paper establishes that for Borel subsets of the first Heisenberg group with Hausdorff dimension between 2 and 3, the packing dimensions of their vertical projections are almost surely at least the set's Hausdorff dimension, while also providing an improved almost sure lower bound for the Hausdorff dimensions of these projections in a specific sub-range, with both results relying on a variable coefficient local smoothing inequality.
This paper introduces a polynomial quasi-Trefftz discontinuous Galerkin method for variable-coefficient elliptic problems that utilizes Taylor polynomial-based approximate solutions to achieve higher accuracy and high-order convergence compared to standard DG schemes, while also addressing non-homogeneous sources through local particular solutions.
This paper investigates the diffraction of high-frequency large-number whispering gallery modes as they propagate from a concave curve to a straight line with a curvature jump, utilizing the parabolic equation method to derive asymptotic formulas and analyze the resulting wavefield's ray skeleton.
This paper proposes a novel generative diffusion model-based framework for high-dimensional MIMO channel estimation that leverages deep generative priors and unsupervised learning to achieve high-fidelity recovery with significantly reduced latency and pilot overhead, even under low-resolution quantization and without requiring ground truth data.
This paper investigates the minimum number of comparability subgraphs required to partition the edges of perfect graphs, demonstrating that while most perfect graph classes (and almost all perfect graphs) can be partitioned into at most two such subgraphs, interval graphs may require an arbitrarily large number.
This paper introduces new finite criteria that enable a practical algorithm to certify projective Anosov subgroups in or , significantly reducing the computational complexity required for verification as demonstrated by a genus 2 surface group example.
This paper establishes a real version of the Lax-Phillips Theorem and classifies outgoing reflection positive orthogonal one-parameter groups to derive a normal form for outgoing monotone geodesics in the set of standard subspaces, utilizing explicit symbols for positive Hankel operators to distinguish these geodesics from those arising in Borchers' Theorem.
This paper proposes and evaluates a set of new heuristics for ambulance selection and reassignment decisions under uncertainty, demonstrating through a rollout approach applied to real-world emergency medical service data that these methods significantly outperform existing strategies in reducing response times while maintaining real-time computational efficiency.
This paper presents a novel scalar action formulation, derived from the Schwinger-Keldysh formalism, that successfully describes non-holonomic and inequality-constrained mechanical systems by recovering Lagrange-d'Alembert dynamics through direct extremization, thereby enabling new analytical and computational approaches that bypass traditional equations of motion.
This paper establishes two weak formulations for the supercooled Stefan problem with transport noise, providing a probabilistic representation via a conditional McKean--Vlasov problem that characterizes finite-time blow-ups and continuous evolution based on initial conditions, while identifying a minimal solution that resolves instabilities through jump discontinuities.
This paper establishes the decidability of the monadic theory of the real numbers with order when quantification is restricted to Borel sets, demonstrating that Boolean combinations of sets form an elementary substructure and that the result extends to larger classes under determinacy hypotheses.
This paper explores invariants of almost embeddings of graphs in the plane by establishing relations among them, connecting these to the homology of the deleted product, constructing examples, and presenting these topological concepts in an accessible manner while highlighting open conjectures.
This paper introduces new classes of multivariate heavy-tailed distributions based on the single big jump principle, investigates their closure properties and asymptotic behaviors under various operations, and applies these findings to evaluate the present value of total claims in a risk model with dependent financial factors.
This paper establishes robustness bounds for discrete-time stochastic optimal control under Wasserstein model approximation, demonstrating that the performance loss of policies derived from approximate models is controlled by the Wasserstein-1 distance between transition kernels, thereby enabling rigorous sample complexity analysis for empirical model and noise distribution learning where stronger convergence criteria may fail.