Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

arXiv (Cornell University)

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.

Authors 3

1. Ian Melbourne

   University of Warwick

   Affiliation as printed

   Mathematics Institute , University of Warwick , Coventry , CV4 7AL , UK

2. Françoise Pène

   Centre National de la Recherche Scientifique · Université de Bretagne Occidentale · Laboratoire de Mathématiques de Bretagne Atlantique

   Affiliation as printed

   Univ Brest , Université de Brest , LMBA , UMR CNRS 6205 , 6 avenue Le Gorgeu , 29238 Brest cedex , France

3. Dalia Terhesiu Aachen Mathematisch Instituut

   Leiden University

   Affiliation as printed

   Mathematisch Instituut , University of Leiden , Niels Bohrweg 1 , 2333 CA Leiden , Netherlands