English

Recurrence in generic staircases

Dynamical Systems 2012-11-30 v2 Geometric Topology

Abstract

The straight-line flow on almost every staircase and on almost every square tiled staircase is recurrent. For almost every square tiled staircase the set of periodic orbits is dense in the phase space.

Keywords

Cite

@article{arxiv.1005.0292,
  title  = {Recurrence in generic staircases},
  author = {Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:1005.0292},
  year   = {2012}
}
R2 v1 2026-06-21T15:17:51.246Z