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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: [email protected])
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Abstract

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.

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

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