Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Monday 20 January 2025
Time 16:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Benard
Speaker's First Name Timothee
Speaker's Email Address
Speaker's Institution CNRS & Université Paris-Nord
Title Diophantine Approximation and Random Walks on the Modular Surface
Abstract 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).
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets
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