Aperiodic Lorentz gas: recurrence and ergodicity
classification
🧮 math.DS
math-phmath.MPnlin.CD
keywords
aperiodicrecurrentdimensionsergodicergodicityexamplesfeaturesfinite
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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.
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