Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-12T09:28:08.236Z Has data issue: false hasContentIssue false
  • English
  • Français

Aperiodic Lorentz gas: recurrence and ergodicity

Published online by Cambridge University Press:  20 June 2003

MARCO LENCI
MARCO LENCI
Affiliation:
Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ 07030, USA (e-mail: mlenci@math.stevens.edu)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We prove that the general (i.e. possibly aperiodic) Lorenz gas in two dimensions, with finite horizon and non-degenerate geometrical features, is ergodic if it is recurrent. We also give examples of aperiodic recurrent gases.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 3 , June 2003, pp. 869 - 883
Copyright
2003 Cambridge University Press