2352 papers
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 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.
This paper investigates two-color partitions with odd smallest parts and specific restrictions on even parts, establishing congruences modulo 2 and 4 for their counts, deriving closed-form eta-quotient generating functions, and formulating Ramanujan-type congruences for the limiting sequence as the restriction parameter tends to infinity.
This paper proposes an improved Contact Graph Routing algorithm for Delay Tolerant Networks that incorporates contact splitting and edge pruning to proactively enforce capacity and buffer constraints during route search, thereby ensuring optimal delivery times and reducing collisions compared to traditional reactive methods.
This paper establishes a conformal scattering theory for defocusing semilinear wave equations on Schwarzschild spacetime by combining energy decay estimates with Sobolev embeddings to construct a bounded, locally Lipschitz scattering operator that maps past to future scattering data.
This paper introduces a noise-aware system identification framework that jointly recovers deterministic drifts and full noise structures from trajectory data without prior assumptions, enabling efficient and accurate modeling of complex, high-dimensional stochastic dynamics with correlated or state-dependent noise.
This paper establishes the existence of non-Einstein, non-shrinking Ricci solitons on , , and , including specific subfamilies of asymptotically paraboloidal steady solitons derived from the quaternionic Hopf fibration and related geometric structures.
This paper provides a fresh variational analysis of -partly smooth functions by establishing their strict twice epi-differentiability and calculating their second subderivatives, while demonstrating that the converse does not hold and applying these results to the stability of generalized equations and the asymptotic analysis of sample average approximations.
This paper derives explicit solutions for a multi-disturbance minimax Linear Regulator problem applied to positive linear time-invariant systems in continuous time, utilizing dynamic programming and a fixed-point method to address both finite and infinite horizons while demonstrating scalability through a large-scale water management network application.