6238 papers
This paper establishes an explicit characterization of irregular Hodge numbers for twisted de Rham cohomology groups in terms of classical Hodge numbers, demonstrating their independence from the choice of non-degenerate functions and providing a concrete formula for unipotent non-degenerate cases.
This paper constructs analytic symplectomorphisms on the sphere, disk, and cylinder that exhibit minimal ergodicity with exactly three ergodic measures by generalizing a principle introduced by Berger based on the Anosov-Katok approximation by conjugacy method.
This paper provides a comprehensive update on stochastic rounding research from 2022 to 2026, with a specific focus on the new limited-precision variant, while offering insights into its industrial applications and future hardware implementation.
This paper establishes the consistency and asymptotic normality of the Whittle estimator for Lévy-driven CARMA models observed at renewal times, demonstrating that the integrated periodogram-based approach remains robust under mild conditions even when the driving noise exhibits heavy tails and jumps.
This paper defends the significance of Bezboruah and Shepherdson's incompleteness result regarding the weak theory against Kreisel's objections, compares it with Pudlák's extension of the Second Incompleteness Theorem, and provides a new proof based on sequence coding insights from Nielsen and Markov.
This paper defines the topological pressure of continuous functions for holomorphic correspondences on the Riemann sphere using open covers and proves that this definition is equivalent to the existing approach based on separated and spanning families of orbits.
This paper proposes a hierarchical Bayesian dynamic game framework for competitive inventory and pricing under incomplete information, integrating Bayesian learning, strategic belief updating, and a credible-risk criterion to derive a conservative equilibrium that effectively balances profit maximization with uncertainty management.
This paper investigates a linear operator derived from invariant measures under multidimensional transformations, using its iterates to provide an explicit solution for the associated functional equation and to establish the existence of absolutely continuous invariant measures that generalize classical -adic maps to higher dimensions.
This paper proposes a distributed non-cooperative game-theoretic framework for jointly optimizing linear MIMO transceivers to resolve semantic mismatches and mitigate multi-user interference in goal-oriented communication systems, deriving a closed-form Nash Equilibrium that balances information compression, interference management, and task performance.
This paper presents an explicit counterexample demonstrating that the natural map from a smooth projective variety to its Campana orbifold base is not necessarily an orbifold morphism, while also establishing conditions under which this property holds and discussing the implications for Campana's conjectures regarding dense entire curves and integral points.
This paper systematically investigates kink solutions in two-component scalar field theories with quartic potentials using the Bogomolny formalism, demonstrating that generalized superpotentials yield new models featuring continuous families of composite kinks with nontrivial internal structures.
This paper establishes the functional framework and existence of weak solutions for quasilinear equations involving the fractional magnetic -Laplacian in three dimensions by employing variational methods and introducing a novel concentration compactness principle to address challenges posed by nonlocality, magnetic potentials, and critical nonlinearities.
This paper constructs Green currents associated with the dominant eigenspaces of holomorphic correspondences on compact Kähler manifolds under specific dynamical degree conditions, establishes the log-Hölder continuity of their super-potentials, and proves the exponential equidistribution of positive closed currents toward the main Green current when the correspondence exhibits simple cohomological action and satisfies a local multiplicity assumption.
This paper employs tropical geometry and Hamiltonian flows to derive explicit formulae for leaky Hurwitz numbers in genus 0 and prove that these invariants satisfy topological recursion under fixed leakiness, thereby establishing a partial inverse to recent results on KP -functions.
This paper generalizes the Newton-Puiseux Theorem to the context of planar real analytic vector fields by proving that every characteristic orbit of an isolated singularity admits a "power-log" asymptotic expansion.
This paper develops a spectral method to solve coupled kinetic and viscous half-space problems at network nodes, enabling the derivation of accurate macroscopic coupling conditions for the linearized BGK equation and its acoustic limit through detailed asymptotic analysis of interface layers.
The paper proves that transitive Anosov flows are abundant on fibered hyperbolic 3-manifolds by demonstrating that a finite index subgroup of the mapping class group consists of elements whose mapping tori carry such flows, thereby establishing that these manifolds have positive density within the set of all fibered hyperbolic 3-manifolds.
This paper establishes the discrete Rubio de Francia extrapolation theorem for pairs of quasi non-increasing sequences with weights and provides a weight characterization for the boundedness of the generalized discrete Hardy averaging operator on such sequences within the space .
This paper extends Serrin's symmetry theorem to the anisotropic setting by proving that for a bounded indecomposable set of finite perimeter with specific regularity conditions, the existence of a weak solution to the anisotropic overdetermined torsion problem implies that the domain must be a translate and dilation of the Wulff shape.
This paper establishes the existence and multiplicity of solutions for an asymptotically linear fractional equation driven by the spectral fractional Laplacian with mixed Dirichlet-Neumann boundary conditions, utilizing pseudo-index theory when the nonlinear term is odd and specific parameter-eigenvalue relations hold.