Refined large derivation for a class of non-uniformly expanding map on 2-sphere.
报告题目：Refined large derivation for a class of non-uniformly expanding map on 2-sphere.
报告专家：Yiwei Zhang(HUST)
报告时间：2023年5月29日 15:00-16:00
报告地点：国家天元数学西南中心516报告厅
报告摘要：
In this talk, I will report some recent progresses on multifractal analysis, thermodynamic formalism and refined large derivation (Chernov bound) on Holder continuous potentials for a class of branched covering map on topological 2-sphere called expanding Thurston maps, which are topological models of some non-uniformly expanding rational maps without any smoothness or holomorphicity assumptions, initially investigated by M. Bonk and D. Meyer. The expanding Thurston maps we consider includes those that are not topological conjugate to rational maps, in particular they can have periodic critical points. As an application, we show a precise asymptotic for law of large number. This is a joint work with Zhiqiang Li and Xianghui Shi.
邀请人：连增
