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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Lundi 20 Janvier 2025 |
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Heure |
16:00 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Benard |
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Prenom de l'orateur |
Timothee |
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Addresse email de l'orateur |
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Institution de l'orateur |
CNRS & Université Paris-Nord |
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Titre |
Diophantine Approximation and Random Walks on the Modular Surface |
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Résumé |
Khintchine's theorem is a key result in Diophantine approximation. Given a positive non-increasing function f defined over the integers, it states that the set of real numbers that are f-approximable has zero or full Lebesgue measure depending on whether the series of terms (f(n))n converges or diverges. I will present a recent work in collaboration with Weikun He and Han Zhang in which we extend Khintchine's theorem to any self-similar probability measure on the real line. The argument involves the quantitative equidistribution of upper triangular random walks on SL(2,R)/SL(2,Z). |
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Numéro de preprint arXiv |
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Commentaires |
Séminaire Géométrie et groupes discrets |
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Fichiers attachés |
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