Effective Equidistribution for Contact Anosov flows in Dimension Three

Fuente: arXiv
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Main Authors: Katz, Asaf, O'Hare, Thomas Aloysius
Format: Preprint
Published: 2025
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author Katz, Asaf
O'Hare, Thomas Aloysius
author_facet Katz, Asaf
O'Hare, Thomas Aloysius
contents We prove effective equidistribution theorems for (weighted) packets of closed periodic orbits for Anosov flows. In particular, for the case of contact Anosov flows on three-dimensional manifolds, we show that the Bowen packets equidistribute at an exponential rate.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18556
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Effective Equidistribution for Contact Anosov flows in Dimension Three
Katz, Asaf
O'Hare, Thomas Aloysius
Dynamical Systems
We prove effective equidistribution theorems for (weighted) packets of closed periodic orbits for Anosov flows. In particular, for the case of contact Anosov flows on three-dimensional manifolds, we show that the Bowen packets equidistribute at an exponential rate.
title Effective Equidistribution for Contact Anosov flows in Dimension Three
topic Dynamical Systems
url https://arxiv.org/abs/2511.18556