Recurrence and non‐ergodicity in generalized wind‐tree models

Krzysztof Frączek and Pascal Hubert

Mathematische Nachrichten, 2018, vol. 291, issue 11-12, 1686-1711

Abstract: In this paper, we consider generalized wind‐tree models and Zd‐covers over compact translation surfaces. Under suitable hypothesis, we prove the recurrence of the linear flow in a generic direction and the non‐ergodicity of Lebesgue measure.

Date: 2018
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https://doi.org/10.1002/mana.201600480

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