Work

Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Year: 2026

Type: preprint

Abstract: We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of the central limit theorem). We apply our results to d-dimensional observables for intermittent maps and solenoids, as well as intermittent semiflows and flows.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15720

Authors: Melbourne, Ian, Pène, Françoise, Terhesiu, Dalia

Institutions: University of Warwick, Centre National de la Recherche Scientifique, Université de Bretagne Occidentale, Laboratoire de Mathématiques de Bretagne Atlantique, Leiden University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Dalian University of Technology

Awards: Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation, Conditioning and limit theorems for random walks and branching processes, G7080048889, Geometry and Asymptotics of large surfaces

OpenAlex ID: W7221836032

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