5407 papers
This paper presents a systematic method to construct vector fields that realize hierarchical excitable networks, where lower-level dynamics form heteroclinic connection patterns and top-level transitions between these patterns are excitable with zero threshold, thereby extending the simplex realization method of Ashwin and Postlethwaite.
The paper proposes Alkaid, a provably secure steganographic scheme that achieves deterministic robustness against edit errors by integrating minimum distance decoding into the encoding process, thereby significantly outperforming state-of-the-art methods in decoding success rates, payload capacity, and encoding speed.
This paper analyzes the secrecy performance of continuous-aperture array (CAPA) systems over Rayleigh fading channels, deriving theoretical expressions for secrecy rate and outage probability across single, multiple independent, and multiple collaborative eavesdropper scenarios, and demonstrating that CAPA systems outperform traditional spatially-discrete arrays by achieving higher secrecy rates, lower outage probabilities, and a diversity order equal to the spatial degrees of freedom.
This paper proposes a framework for Haar-type measures on topological quasigroups by introducing quasi-invariant measures with modular cocycles, demonstrating how Moufang-type identities constrain these cocycles to suggest that Kunen's theorem reflects the collapse of modular defects into a loop structure.
This paper establishes a necessary and sufficient condition for the existence of an equivalent measurable version of a stochastic process on arbitrary probability spaces by characterizing measurability with respect to a specific -algebra larger than the product -algebra, thereby generalizing previous results on separable versions and liftings.
This paper establishes sharp nonasymptotic oracle inequalities and minimax optimal convergence rates for sparse Lasso and Slope estimators of high-dimensional drift matrices in Lévy-driven Ornstein--Uhlenbeck processes based on discrete observations, thereby extending high-dimensional statistical theory to systems driven by pure jump noise.
This paper investigates finiteness conditions on skew braces, specifically -skew braces with additive groups, by establishing structural analogs to finite conjugacy and demonstrating how these properties characterize infinite set-theoretic solutions of the Yang-Baxter equation that behave similarly to finite ones.
This paper investigates the poset of subgroup classes in finite groups sharing the same set of element orders, characterizing the groups for which this poset is a chain or specifically , and analyzing its lattice properties, including distributivity and modularity, for cyclic and dihedral groups.
This paper establishes the existence, uniqueness, and exponential mixing of an invariant measure for a stochastic generalized Constantin-Lax-Majda-DeGregorio model of turbulence featuring an anomalous enstrophy cascade, utilizing the Krylov-Bogoliubov argument and large viscosity conditions to advance the dynamical systems understanding of turbulent cascades.
This paper establishes a precise asymptotic transfer mechanism for critical recursive composition schemes in map enumeration, demonstrating how singular structures and associated central limit theorems for statistics on 2-connected maps propagate to the broader class of all maps.
This paper investigates the universal asymptotic behavior of correlations in two-dimensional Coulomb systems featuring an outpost Jordan curve, showing that these correlations along the outpost and outer boundary are governed by a reproducing kernel for a specific Hilbert space of analytic functions, thereby generalizing recent Szegő-type edge correlation results.
This paper presents a novel, general 3D finite element framework for railway vehicle-bridge interaction that utilizes absolute coordinates and tailored constraint equations to rigorously model nonlinear wheel-rail contact, enabling robust simulations of extreme lateral movements without relying on infinitesimal displacement assumptions.
This paper classifies quadratic rational maps over with nonabelian automorphism groups that possess rational periodic points of periods 1, 2, and 3, proves the nonexistence of such points for periods 4 and 5, and establishes that the total number of rational preperiodic points is at most 6.
This paper classifies flexible Kokotsakis polyhedra with non-planar quadrilateral faces by analyzing the conditions under which the polynomials relating their dihedral angles are reducible, thereby characterizing the specific shape restrictions that enable flexibility.
This paper introduces loop braid groups as a three-dimensional generalization of classical braid groups to study homeomorphisms of the 3-ball, establishing a connection between Burau matrix representations and the generalized Lefschetz number to derive estimates for the existence and interaction of fixed and periodic points.
This paper establishes robust upper and lower bounds for life insurance functionals under two distinct mortality assumptions—one requiring almost sure consistency and the other allowing for expected deviations with life table constraints—to quantify the impact of fractional age uncertainty on contract valuations without relying on specific parametric models.
This paper establishes a general Jensen-type inequality for pairs of measure spaces on product domains that extends classical results like Hölder's and Minkowski's inequalities, provides sharp equality conditions and quantitative refinements, and demonstrates applications ranging from entropy-type bounds to convolution operators.
This paper establishes a Pontryagin-type stochastic maximum principle for optimal control of McKean-Vlasov stochastic partial differential equations with nonconvex control sets by employing spike variation methods and Lions derivatives within an infinite-dimensional framework.
This paper employs the Bahri-Coron barycenter method to establish the existence of a conformal metric with constant higher-order -curvature on specific Riemannian manifolds under a natural positivity condition, notably achieving this result without relying on a positive mass theorem.
This paper classifies irreducible covariant representations of algebraic affine group actions on affine varieties by adapting the Mackey machine to the algebraic setting and demonstrates applications to continuous representations of motion groups on Banach spaces.