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arXiv:math/0206299 [math.DS]AbstractReferencesReviewsResources

Aperiodic Lorentz gas: recurrence and ergodicity

Marco Lenci

Published 2002-06-27Version 1

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.

Comments: 17 pages, 3 figures
Journal: Ergodic Theory Dynam. Systems 23 (2003), no. 3, 869-883
Categories: math.DS, math-ph, math.MP, nlin.CD
Subjects: 37D50, 37A40
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