Aperiodic Lorentz gas: recurrence and ergodicity

Details Aperiodic Lorentz gas: recurrence and ergodicity Aperiodic Lorentz gas: recurrence and ergodicity

2002-06-27

arxiv.org/abs/math/0206299v1

Ergodic Theory Dynam. Systems 23 (2003), no. 3, 869-883

Mathematics

Dynamical Systems

17 pages, 3 figures

Scientific paper

10.1017/S0143385702001529

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.

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