- 02-281 Marco Lenci
- Aperiodic Lorentz gas: recurrence and ergodicity
(87K, LaTeX 2e with 3 eps figures)
Jun 27, 02
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Abstract. We prove that any generic (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.