7018 papers
This paper presents the construction of a 2-distance set consisting of 277 points in 23-dimensional Euclidean space, where the pairwise distances between points are restricted to the values 2 and .
This paper derives identities for the exit problems and resolvents of a hybrid process that switches between two Lévy processes based on a level-dependent Poissonian barrier, expressing these results through generalized scale functions and applying them to calculate ruin probabilities in risk processes with delayed dividend payments.
This paper derives explicit total variation error bounds for approximating the number of maxima and near-maxima in independent samples using logarithmic, Poisson, and negative binomial distributions, supported by new applications of Stein's method and illustrated through geometric, Gumbel, and uniform examples.
This paper establishes the optimal regularity of the volume function on the big cone of a projective manifold and examines its regularity when restricted to segments moving in ample directions.
This paper demonstrates that a 1958 argument by Rogers provides a proof for Vaaler's 1979 theorem regarding sections of the cube and facilitates certain generalizations of the result.
This paper constructs a braided balanced category of half-braided algebras and bimodules internal to a braided category to interpret stated skeins as a TQFT, specifically relating this construction to the Kerler-Lyubashenko TQFT in the case of finite-dimensional ribbon factorizable Hopf algebras.
This paper introduces a fully automatic, fully Bayesian method for constructing irregular histograms that simultaneously selects the optimal number and location of bins, demonstrating consistency and minimax convergence rates while performing competitively with existing procedures in simulations.
This paper proves that the flip map involution on Khovanov homology is determined by its behavior on unlinks and acts as the identity over , thereby confirming a conjecture on the Viro flip map and establishing the equivalence of induced involutions for strongly invertible knots.
This paper establishes an explicit description of the highest weights and joint highest weight vectors for the irreducible representations of the dual pair and within the supersymmetric algebra , thereby providing a concrete realization of their Howe duality correspondence.
This paper proposes a method to enable effective stratified sampling in high-dimensional spaces by using neural active manifolds to identify a one-dimensional latent space that captures model variability, allowing for the creation of input partitions that align with model level sets to significantly reduce variance in uncertainty propagation.
This paper provides a complete symplectic-topological classification of periodic orbits in the spatial rotating Kepler problem by introducing a new coordinate system based on the Laplace-Runge-Lenz vector, computing their Conley-Zehnder and Robbin-Salamon indices, and determining their contributions to symplectic homology via the Morse-Bott spectral sequence.
This paper establishes that for a mathematical model of tuberculosis granuloma formation, solutions with sufficiently small initial data exist globally and converge exponentially to the disease-free equilibrium when and the basic reproduction number .
This paper characterizes the spectral properties and invariant subspace structure of compressed shifts on nearly -invariant subspaces by employing unitary equivalence, the Frostman shift, the Crofoot transform, and Sz.-Nagy--Foias theory to bridge the gap between classical model space theory and broader function-theoretic settings.
This paper proposes and proves the asymptotic optimality of new coded distributed computing schemes for ring networks, demonstrating that while redundant computation yields an additive reduction in communication load, increasing the broadcast distance provides a multiplicative gain for both all-gather and all-to-all data exchange scenarios.
This paper extends C. Riehm's 1984 results on Riemannian -type Lie groups to the pseudo-Riemannian setting by providing a complete characterization of the geodesic orbit property for 2-step nilpotent Lie groups constructed from admissible Clifford modules of minimal dimension.
The paper establishes that any collection of hyperplanes covering the vertices of an -dimensional hypercube, where each vertex is covered by a hyperplane involving every coordinate variable, must contain at least hyperplanes, a result that generalizes the skew covers problem and yields tight bounds for slicing hypercube edges with bounded integer coefficients.
This paper constructs a modified universal Kolyvagin system for Hida families of modular forms using big Heegner points on Shimura curves, generalizing previous work to a quaternionic setting without the classical Heegner hypothesis and proving one divisibility of the anticyclotomic Iwasawa main conjecture.
This paper establishes necessary and sufficient cohomological conditions for representing classes by Real embedded surfaces in 4-manifolds and derives two versions of an adjunction inequality for their genus when Real Seiberg-Witten invariants are non-zero, demonstrating that the minimal genus for Real surfaces can exceed that of arbitrary embedded surfaces.
This paper proves that every locally compact strongly topological gyrogroup possesses a suitable set, thereby affirmatively resolving a question previously posed by F. Lin and colleagues.
This paper establishes the Hurwitz stability of Hurwitz-type matrix polynomials by deriving an explicit form of their associated Bezoutian and proposes an extension of this class to include polynomials formed by adding a non-Hurwitz-type polynomial to another.