Recurrence in generic staircases

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.

References in corpus (3)

• Dynamics on an infinite surface with the lattice property
• Typical recurrence for the ehrenfest wind-tree model
• Generalized staircases: recurrence and symmetry

Cited by in corpus (3)

• Ergodic infinite group extensions of geodesic flows on translation surfaces
• Infinite-horizon Lorentz tubes and gases: recurrence and ergodic properties
• Residual generic ergodicity of periodic group extensions over translation surfaces