5227 papers
This paper introduces the concept of dependent reachable sets for two-agent pursuit scenarios, characterizing their geometric bounds and shape through theoretical analysis and simulations of the constant bearing pursuit strategy.
This paper extends the Fractional HBVMs (FHBVMs) framework to efficiently solve systems of fractional differential equations with multiple, distinct derivative orders, addressing a previous limitation and providing a corresponding effective MATLAB implementation.
This paper investigates the existence, non-radiality, and full higher-order asymptotic behavior of positive rupture solutions to an elliptic MEMS equation featuring Hénon-type and external pressure terms near the origin.
This paper proves that for finite-dimensional quantum systems undergoing single-branch collapse dynamics without information erasure, operational irreversibility is structurally impossible because every physically admissible collapse selector contains a forward-invariant subset of states that can be connected with arbitrarily high precision and negligible energy cost, thereby establishing islands of quasi-reversibility.
This paper establishes an up-to-constant estimate for the critical two-point function restricted to a half-space in high-dimensional Bernoulli percolation (), thereby completing prior work by Chatterjee, Hanson, and Sosoe and resolving a specific question posed by Hutchcroft, Michta, and Slade.
This paper establishes a universal upper bound for the smallest area of a 2-dimensional stationary integral varifold in closed Einstein 4-manifolds, demonstrating that this bound depends solely on the manifold's volume and diameter under specific curvature and topological constraints.
This paper establishes that a broad class of non-abelian monoidal categories can be realized as subcategories of tilting objects within abelian highest weight categories by utilizing a monoidal enhancement of semi-infinite Ringel duality, a framework that further yields monoidal structures on representations of affine Lie algebras at positive levels.
This paper establishes an isomorphism between the classical quasi-shuffle and the recently defined shuffle Hopf algebras for multiple zeta values by utilizing quasi-symmetric functions, while comparing this result to the well-known isomorphism by Hoffman, Newman, and Radford.
This paper establishes the large-time stability and time-decay estimates for small perturbations around a time-periodic solution to the three-dimensional Navier-Stokes-Fourier system in the whole space, utilizing time-space integral estimates of the linearized semigroup in Besov spaces.
This paper presents two algebraic proofs of the transcendence of using formal power series—one adapting the Beukers, Bézivin, and Robba approach and the other utilizing improper integrals of formal power series—while demonstrating how these methods improve upon Hilbert's classical analytical proof.
This paper introduces the Graded Fast Hard Thresholding Pursuit (GFHTP) algorithm, which utilizes a quantile-truncated step size for LAD minimization to achieve exact sparse signal recovery from outlier-contaminated measurements without requiring prior knowledge of the signal's sparsity level.
This paper extends the non-abelian Hodge correspondence to compact Kähler spaces with klt singularities by establishing an equivalence between polystable Higgs bundles and semi-simple flat bundles on regular loci and proving a descent theorem for Higgs bundles along resolutions, ultimately yielding a quasi-uniformization theorem for projective klt varieties satisfying the orbifold Miyaoka-Yau equality.
This paper establishes that the homotopy type of the independence complex of a generalized Mycielskian graph is determined by the homotopy types of the independence complexes of the original graph and its Kronecker double cover, and applies this result to compute these types for paths, cycles, and categorical products of complete graphs.
This paper formulates a bilinear local smoothing conjecture for Fourier integral operators in all dimensions , demonstrates that the linear conjecture implies this bilinear version, and establishes the conjecture for dimension and all odd dimensions .
This paper constructs noncontinuous, strictly increasing, bisymmetric binary operations on real intervals using Cantor-type sets to demonstrate that continuity is not guaranteed for non-reflexive operations of a specific form, while also proving that such operations become continuous and quasi-arithmetic if they are reflexive at two points.
This paper demonstrates that for point perturbations of the Laplacian on a compact Riemannian manifold, the high-frequency eigenfunctions exhibit semiclassical measures invariant under the geodesic flow, provided the scatterers satisfy a non-focality condition ensuring that returning geodesics form a set of zero measure.
This paper presents a novel, computationally efficient integral solution for the mechanical response of a viscoelastic Kelvin-Voigt medium to pulse excitations, offering a simpler alternative to complex inverse Laplace transform methods and enabling straightforward asymptotic analysis.
This paper introduces a novel class of single- and multi-level Fourier-RQMC algorithms that leverage frequency-domain integration and randomized quasi-Monte Carlo sampling to achieve superior accuracy and computational efficiency in estimating multivariate shortfall risk and optimal capital allocations compared to traditional Monte Carlo methods.
This paper investigates a once-reinforced random walk on the half-line and establishes the limiting behaviors for all moments of its range.
This paper provides an alternative proof that certain links are not smoothly slice in and explores the implications of this result for detecting exotic smooth structures on .