Accessibility and ergodicity for collapsed Anosov flows
Dynamical Systems
2021-03-29 v1 Geometric Topology
Abstract
We consider a class of partially hyperbolic diffeomorphisms introduced in [BFP] which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a su-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.
Cite
@article{arxiv.2103.14630,
title = {Accessibility and ergodicity for collapsed Anosov flows},
author = {Sergio R. Fenley and Rafael Potrie},
journal= {arXiv preprint arXiv:2103.14630},
year = {2021}
}
Comments
17 pages, 4 figures