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 |
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Comments |
Séminaire Géométrie et groupes discrets |
Attachments |
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