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Pré-Publication, Document De Travail Année : 2021

Limit theorems for toral translations

Dmitry Dolgopyat
  • Fonction : Auteur

Résumé

We discuss some classical and recent results and open problems on the statistical behavior of ergodic sums above toral translations, and their applications to Diophantine approximations and to ergodic properties of systems related to quasi-periodic dynamics such as skew products, cylindrical cascades and special flows.

Dates et versions

hal-03456724 , version 1 (30-11-2021)

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Bassam Fayad, Dmitry Dolgopyat. Limit theorems for toral translations. 2021. ⟨hal-03456724⟩
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