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Mouvement brownien appliqué à l'étude de la dynamique des feuilletages transversalement holomorphes

Abstract : In this thesis, I use a probabilistic approach (Brownian motion) to study the dynamic of transversely holomorphic foliations. The two main results are the following: for a taut transversely holomorphic foliation with complex codimension one, almost every point in the topological boundary of a connected component F of the Fatou set is an accumulation point of every point of F. The second main result deals with Riccati foliations of the complex projective plane: any holonomy germ of such a foliation between complex projective lines can be analytically continued along a generic brownian path.
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https://tel.archives-ouvertes.fr/tel-00874410
Contributor : Nicolas Hussenot Desenonges <>
Submitted on : Thursday, October 17, 2013 - 5:20:31 PM
Last modification on : Friday, September 25, 2020 - 3:35:49 AM
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Nicolas Hussenot. Mouvement brownien appliqué à l'étude de la dynamique des feuilletages transversalement holomorphes. Topologie géométrique [math.GT]. Université de Nantes, 2012. Français. ⟨tel-00874410⟩

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