From decay of correlations to recurrence times in systems with contracting directions
Dynamical Systems
2025-10-29 v4
Abstract
Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contracting directions). Here, we obtain reciprocal results also for invertible systems (with contracting directions).
Keywords
Cite
@article{arxiv.2401.06024,
title = {From decay of correlations to recurrence times in systems with contracting directions},
author = {José F. Alves and João S. Matias},
journal= {arXiv preprint arXiv:2401.06024},
year = {2025}
}
Comments
Some corrections have been introduced. The previous withdrawal was made by mistake