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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 288 - probability & statistics
timothée bénard
université sorbonne paris nord
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).
february 27, 2025
11:00 am
apm 6402
research areas
probability theory****************************
