English

Quantitative statistical properties of two-dimensional partially hyperbolic systems

Dynamical Systems 2022-02-23 v3

Abstract

We study a class of two dimensional partially hyperbolic systems, not necessarily skew products, trying to establish the germ of a general theory. To illustrate the scope of the theory, we apply our results to the case of fast-slow partially hyperbolic systems.

Keywords

Cite

@article{arxiv.2007.05602,
  title  = {Quantitative statistical properties of two-dimensional partially hyperbolic systems},
  author = {Roberto Castorrini and Carlangelo Liverani},
  journal= {arXiv preprint arXiv:2007.05602},
  year   = {2022}
}

Comments

Substantially revised version in which the arguments for fast-slow systems are clearly separated

R2 v1 2026-06-23T17:01:58.299Z