Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Ian Melbourne; Françoise Pène; Dalia Terhesiu

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arXiv · 2610.15720

Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Ian Melbourne·Françoise Pène·Dalia Terhesiu

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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.

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Ian Melbourne, Françoise Pène, Dalia Terhesiu. 2026-10-11. Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows. https://arxiv.org/abs/2610.15720

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