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Recurrence and non‐ergodicity in generalized wind‐tree models

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  • Krzysztof Frączek
  • Pascal Hubert

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.

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  • Krzysztof Frączek & Pascal Hubert, 2018. "Recurrence and non‐ergodicity in generalized wind‐tree models," Mathematische Nachrichten, Wiley Blackwell, vol. 291(11-12), pages 1686-1711, August.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:11-12:p:1686-1711
    DOI: 10.1002/mana.201600480
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