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Exemples de systèmes dynamiques : comptage en mesure infinie, enlacement sur le tore et échanges d'intervalles affines

Abstract : We study in this thesis some geometric flavoured dynamical systems. The first chapter is dedicated to the asymptotic study of the orbital function associated to Kleinian groups of infinite co-volume. The second one is more topologic and deals with the notion of linking number and its dynamical related aspects. The last chapter is about the study of affine interval exchanges through a particular example.
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Adrien Boulanger. Exemples de systèmes dynamiques : comptage en mesure infinie, enlacement sur le tore et échanges d'intervalles affines. Théorie spectrale [math.SP]. Sorbonne Université, 2018. Français. ⟨NNT : 2018SORUS250⟩. ⟨tel-02475873⟩

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