报告人：王志强

时间：2025年4月11日09:30-11:30

        2025年4月18日09:30-11:30

        2025年4月25日09:30-11:30

        2025年5月09日09:30-11:30

地点：理科楼LA103

摘要：An important open problem to compute the dimension of self-similar sets with overlaps is the exact overlap conjecture. In this talk, I will introduce Hochman’s inverse theorem for entropy, from which Hochman proved that the exact overlap conjecture holds for IFS defined by algebraic parameters. I will try to explain the key ideas. The talk includes the following three parts:

(i)Hochman’s inverse theorem for entropy;

(ii)Exact dimensionality and uniform entropy dimension for self-similar measures;

(iii)Exact overlap conjecture.

The main content of this talk is from [M. Hochman, On self-similar sets with overlaps and inverse theorems for entropy, Ann. of Math. 180(2): 773-822, 2014].

邀请人: 数学研究中心

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