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Recent development of Bowen's criterion on uniqueness and stochastic properties of equilibrium measures

发布日期:2026-05-14点击数:

报告人:王天宇 副教授(上海交通大学)

时间:2026年5月22日 09:30-

地点:理科楼LA104


摘要:In 1970s, Rufus Bowen came up with a general criterion on establishing thermodynamic formalism of a dynamical system by extracting critical features of a uniformly hyperbolic system equipped with a H\"older continuous potential. Precisely, he showed that on an expansive homeomorphism satisfying a strong orbital concatenation property called specification property, a bounded-distorted continuous potential must have a unique equilibrium state. In this talk, we briefly survey the development of Bowen's argument in the past two decades. This includes the introduction of a recent variant of Bowen's approach, as well as its applications on detecting a few types of strong stochastic behaviors.


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。