English

On the ergodic properties of time changes of partially hyperbolic homogeneous flows

Dynamical Systems 2020-10-09 v2

Abstract

For any accessible partially hyperbolic homogeneous flow, we show that all smooth time changes are K and hence mixing of all orders. We also establish stable ergodicity for time-one map of these time changes.

Keywords

Cite

@article{arxiv.2010.01602,
  title  = {On the ergodic properties of time changes of partially hyperbolic homogeneous flows},
  author = {Changguang Dong},
  journal= {arXiv preprint arXiv:2010.01602},
  year   = {2020}
}