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Green currents of holomorphic correspondences on compact Kähler manifolds

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.

Muhan Luo, Marco Vergamini2026-03-09🔢 math

Failing to keep the balance: explicit formulae and topological recursion for leaky Hurwitz numbers

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 $\tau$ -functions.

Marvin Anas Hahn, Reinier Kramer2026-03-09🔢 math

Asymptotic expansions of characteristic orbits of planar real analytic vector fields

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.

Jun Zhang2026-03-09🔢 math

A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit

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.

Raul Borsche, Tobias Damm, Axel Klar, Yizhou Zhou2026-03-09🔢 math

Construction of Anosov flows on fibered hyperbolic 3-manifolds

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.

François Béguin, Christian Bonatti, Biao Ma, Bin Yu2026-03-09🔢 math

Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences

This paper establishes the discrete Rubio de Francia extrapolation theorem for pairs of quasi non-increasing sequences with $\mathcal{QB}_{\beta, p}$ weights and provides a weight characterization for the boundedness of the generalized discrete Hardy averaging operator on such sequences within the space $l_w^p(\mathbb{Z}^+)$ .

Monika Singh, Amiran Gogatishvili, Rahul Panchal, Arun Pal Singh2026-03-09🔢 math

An anisotropic Serrin's problem in general domains

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.

Alessio Figalli, Yi Ru-Ya Zhang2026-03-09🔢 math

Asymptotically linear fractional problems with mixed boundary conditions

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.

Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi2026-03-09🔢 math

Compact embeddings of generalised Morrey smoothness spaces on bounded domains

This paper establishes sufficient and, in some cases, necessary conditions for the continuity and compactness of embeddings between various scales of generalised Morrey smoothness spaces on bounded smooth domains, utilizing wavelet characterisations to generalise and improve upon existing results for classical smoothness Morrey spaces.

Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak2026-03-09🔢 math

Short star products for quantum symmetric pairs and applications

This paper proves that the star product for quantum symmetric pair coideal subalgebras is short, a result the authors use to provide new, elementary proofs of fundamental properties such as the existence of the bar involution and the intertwiner property of the quasi K-matrix without relying on the quasi K-matrix itself.

Stefan Kolb, Milen Yakimov2026-03-09🔢 math

On the generalized of $p$ -biharmonic and bi- $p$ -harmonic maps

This paper extends the definitions of $p$ -biharmonic and bi- $p$ -harmonic maps between Riemannian manifolds and investigates their fundamental properties.

Fethi Latti, Ahmed Mohammed Cherif2026-03-09🔢 math

On The Hausdorff Dimension Of Two Dimensional Badly Approximable Vector

This paper establishes that for any ball in the unit square, the Hausdorff dimension of the intersection with the set of weighted badly approximable vectors equals that of the corresponding set of weighted approximable vectors, providing an explicit formula for this dimension in terms of the weight parameters.

Yi Lou2026-03-09🔢 math

Groups acting on products of locally finite trees

This paper investigates which finitely generated groups admit proper actions on finite products of locally finite trees, presenting evidence that hyperbolic surface groups possess such actions and providing an explicit embedding of the genus 2 surface group into $SL_2(\mathbb{F}_p(x,y))$ for any prime $p$ .

J. O. Button2026-03-09🔢 math

Policy Iteration Achieves Regularized Equilibrium under Time Inconsistency

This paper proposes a policy iteration algorithm for general entropy-regularized time-inconsistent stochastic control problems that converges exponentially to an equilibrium policy by proving the generated value functions form a Cauchy sequence, thereby establishing the global existence and uniqueness of a classical solution to the associated exploratory equilibrium Hamilton–Jacobi–Bellman equation.

Yu-Jui Huang, Xiang Yu, Keyu Zhang2026-03-09🔢 math

Homogeneous Border Bases on Infinite Order Ideals

This paper extends the theory of border bases from zero-dimensional to positive-dimensional homogeneous ideals by introducing the concept of homogeneous border bases relative to infinite order ideals and providing an effective criterion for their characterization using formal multiplication matrices that requires verification in only finitely many degrees.

Cristina Bertone, Sofia Bovero2026-03-09🔢 math

Ramanujan Complexes from Unitary Groups over Number Fields

This paper constructs new infinite families of Ramanujan complexes with distinct local structures by utilizing super-definite unitary groups over totally real number fields, yielding novel examples across various types and providing a fully explicit rank-5 construction that generates golden gates for the real Lie group $PU(5)$ .

Rahul Dalal, Alberto Mínguez, Jiandi Zou2026-03-09🔢 math

Design of Hierarchical Excitable Networks

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.

Sören von der Gracht, Alexander Lohse2026-03-09🔢 math

Alkaid: Resilience to Edit Errors in Provably Secure Steganography via Distance-Constrained Encoding

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.

Zhihan Cao, Gaolei Li, Jun Wu, Jianhua Li, Hang Zhang, Mingzhe Chen2026-03-09🔢 math

On the Secrecy Performance of Continuous-Aperture Arrays Over Fading Channels

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.

Xuan Yang, Chongjun Ouyang, Dongming Li, Yuanwei Liu2026-03-09🔢 math

Haar-Type Measures on Topological Quasigroups and Kunen's Theorem

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.

Takao Inoué2026-03-09🔢 math

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