Aperiodic Lorentz gas: recurrence and ergodicity

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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.
17 pages, 3 figures

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Dynamical Systems, Mathematical Physics, Chaotic Dynamics, 37D50; 37A40

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http://salesiana.dossiersoluciones.com/handle/123456789/64419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206299
 http://arxiv.org/abs/math/0206299
 Ergodic Theory Dynam. Systems 23 (2003), no. 3, 869-883
 doi:10.1017/S0143385702001529

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arXiv