Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2025

Mixing properties of a class of nonuniformly expanding maps. Application to Hölderian invariance principles.

Résumé

We study the mixing properties of a class of nonuniformly expanding maps when the return time to the basis has a weak moment of order p >1, up to a slowly varying function. From these computations, we deduce an invariance principle in Hölder spaces for the partial sum process of Birkhoff sums of Hölder continuous observables. The results apply to a class of intermittent maps of the unit interval. For such a map, we also prove that the Hölder invariance principle remains true for BV observables.

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Dates et versions

hal-04954547 , version 1 (18-02-2025)
hal-04954547 , version 2 (17-07-2025)

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  • HAL Id : hal-04954547 , version 1

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V Alouin, Aurélie Bigot. Mixing properties of a class of nonuniformly expanding maps. Application to Hölderian invariance principles.. 2025. ⟨hal-04954547v1⟩
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