Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Preprint, 2026

Ian Melbourne, Françoise Pène and Dalia Terhesiu

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.