Dynamical Systems Seminar Monday: Khintchine’s theorem for self-similar measures

Speaker: Han Zhang (Soochow University)

Time: 2025-09-15 11:00
Location: R1310, SIMIS
Zoom Meeting ID: 701 504 7510 (Passcode: SIMIS)

Abstract:
Khintchine’s theorem is one of the fundamental theorems in Diophantine approximation. I will discuss recent joint work with Timothée Bénard and Weikun He, in which we resolve questions of Mahler in 1984 and Kleinbock-Lindenstrauss-Weiss in 2004 concerning Khintchine’s theorem for self-similar measures. For this, we establish an effective equidistribution theorem for associated random walks in the space of unimodular lattices.

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About Speaker:
Han Zhang is a Professor of mathematics at Soochow University working in homogenous dynamics and Diophantine approximation.