English

There exists an interval exchange with a non-ergodic generic measure

Dynamical Systems 2014-11-06 v2 Geometric Topology

Abstract

We show that there exists an interval exchange and a point so that the orbit of the point equidistributes for a measure that is not ergodic.

Keywords

Cite

@article{arxiv.1410.1576,
  title  = {There exists an interval exchange with a non-ergodic generic measure},
  author = {Jon Chaika and Howard Masur},
  journal= {arXiv preprint arXiv:1410.1576},
  year   = {2014}
}
R2 v1 2026-06-22T06:14:35.591Z