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Article Dans Une Revue Mathematical News / Mathematische Nachrichten Année : 2018

Recurrence and non-ergodicity in generalized wind-tree models

Résumé

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.

Dates et versions

hal-02071518 , version 1 (18-03-2019)

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Krzysztof Frączek, Pascal Hubert. Recurrence and non-ergodicity in generalized wind-tree models. Mathematical News / Mathematische Nachrichten, 2018, 291 (11-12), pp.1686-1711. ⟨10.1002/mana.201600480⟩. ⟨hal-02071518⟩
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