2636 papers
This paper introduces spectral Barron spaces within the framework of quantum harmonic analysis, establishes their fundamental properties such as completeness and continuous embeddings, and applies these results to prove the existence and uniqueness of solutions for a Schrödinger-type equation.
This paper introduces a systematic method for defining cochain complexes for dendriform and pre-Lie algebras by relating their cohomology to classical cohomology, thereby simplifying computations and leveraging established techniques.
This paper proves that any tile of prime size in is spectral, and further demonstrates that any set of points in general linear position within (where ) possesses both tiling and spectral properties.
This paper establishes that for endomorphisms of projective spaces or automorphisms of compact Kähler manifolds, the pull-backs of currents under iterates converge exponentially fast to Green currents when tested against -Hölder continuous observables with bounded mass.
This paper investigates homogeneous and inhomogeneous quaternionic Sylvester equations by establishing conditions for the existence of solutions and deriving their general and nonzero forms using quaternion square roots.
This paper establishes that the natural closure operator on a graph's vertex set, defined by a set and its neighbors, induces a canonical convergence structure, which the authors analyze using nets to relate combinatorial graph properties to convergence-theoretic characteristics.
This paper introduces a mass-lumped Virtual Element Method combined with explicit Strong Stability-Preserving Runge-Kutta time stepping for two-dimensional parabolic problems on general polygonal meshes, establishing theoretical stability under a classical CFL condition and demonstrating optimal convergence rates and robustness against mesh distortion through numerical experiments.
This paper establishes that motivic stable homotopy groups of spheres over an algebraically closed field of characteristic zero are determined by -completed spheres and motivic cohomology, enabling the proof that complex realization induces isomorphisms in specific bidegrees and resolving the conditions under which the universal stably-free module of type admits a free summand.
This paper introduces the concept of generalized pinching-antenna systems as a transformative, flexible architecture for next-generation wireless networks, providing a comprehensive tutorial on their physical principles, diverse realizations, design strategies, integration with emerging technologies, and future research directions.
This paper introduces efficient splitting methods, specifically Douglas-Rachford and Davis-Yin, to implement optimization-based limiters that enforce invariant-domain preservation in high-order numerical schemes for gas dynamics, demonstrating their robustness and performance through applications to discontinuous Galerkin methods on compressible flow benchmarks.
This paper investigates the arithmetic of nonzero ideals in multivariate polynomial rings by extending recent factorization techniques to construct new families of atoms and analyzing the specific arithmetic properties and sets of lengths within the submonoid of monomial ideals.
This paper introduces AirCNN, a novel paradigm that leverages reconfigurable intelligent surfaces (RISs) to perform over-the-air analog convolution operations, demonstrating through joint optimization and simulations that multi-RIS MISO architectures effectively emulate both standard and depthwise separable CNN layers with high classification performance.
This paper extends the existing bijection between ranked tree shapes and F-matrices to fully heterochronous cases by establishing an explicit correspondence that enables efficient enumeration and the development of probabilistic models for phylogenetic trees with leaves at varying sampling times.
This paper establishes a strong approximation scheme for stochastic differential and Volterra equations with merely measurable or singular time-dependent coefficients by replacing the Brownian motion with a compound Poisson process, proving explicit convergence rates and demonstrating superior stability compared to traditional Euler-Maruyama methods.
This paper constructs and evaluates compactly supported dual Gabor windows generated by B-splines and exponential B-splines, demonstrating through signal and image reconstruction experiments that these windows offer stable, computationally efficient alternatives to canonical duals for practical applications.
This paper establishes the existence, uniqueness, and global regularity of positive classical solutions to quasilinear Hamilton–Jacobi–Bellman equations on bounded convex domains via a constructive weighted monotone iteration scheme, while providing a probabilistic derivation from controlled Itô diffusions and demonstrating applications in stochastic production planning and image restoration.
This paper introduces the BOUNDS method and the Augmented Information Kalman Filter (AI-KF) to systematically discover active sensing motifs and dynamically fuse neural network with model-based estimation, thereby improving state estimation for nonlinear autonomous systems in GPS-denied environments.
This paper establishes new sufficient conditions for the non-explosivity and positive recurrence of stochastic reaction networks within compartments whose fragmentation rates depend on their internal species content, demonstrating that previous theoretical results for content-independent dynamics fail in this more general, biologically relevant setting.
The paper demonstrates that the Riemann zeta function and its reflection do not simultaneously vanish in the critical strip except on the critical line, a result that remains valid even when the fractional part function is replaced by one satisfying a specific Rotation Number Hypothesis.
This paper demonstrates that adjoining -adic analogs of and to the ring of analytic functions on the Fargues-Fontaine curve eliminates its Galois cohomology in degrees , thereby enabling the formulation of and -type conjectures for the compact support cohomology of -adic analytic varieties.