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Theses

Marches aléatoires et arbres de Galton-Watson

Abstract : In this thesis we are interested in three types of problems: 1-Existence and uniqueness of a positive harmonic function associated with an inhomogeneous random walk confined in an orthant. 2-Study of convergence in distribution of critical Galton Watson trees conditioned to have a large enoughnumber of protected nodes. 3-Study of the convergence in distribution of Galton Watson trees conditioned to have a large generation.
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Aymen Bouaziz. Marches aléatoires et arbres de Galton-Watson. Mathématiques générales [math.GM]. Université d'Orléans, 2017. Français. ⟨NNT : 2017ORLE2047⟩. ⟨tel-01909729⟩

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