Speaker: Tianyu Wang (Shanghai jiaotong)
Time: 2025-12-05 11:00-12:00
Location: 1710, SIMIS
Zoom Meeting ID: 849 5115 9704 Passcode: SIMIS
摘要：
In 1970’s, Rufus Bowen came up with the idea of depicting the general picture of thermodynamic formalism of a dynamical system using a strong orbital concatenation property, known as specification. Precisely, he showed that a bounded-distorted continuous potential on an expansive homeomorphism with specification must have a unique equilibrium state. In this talk, we briefly survey the development of Bowen’s argument in the last two decades by introducing how Bowen’s idea is extended to a variety of systems beyond compact uniform hyperbolic setting. This talk is based on a sequence of joint works with V. Climenhaga, D. Thompson and W. Wu.
About Speaker:
Tianyu Wang is an a tenure-track associate professor in Shanghai Jiaotong University, School of Mathematical Sciences. He earned my Bachelor degree in honored math from SJTU, Zhiyuan College, and then his ph.D degree in math from Ohio State University in 2021, under supervision of Prof. Daniel Thompson. After that he was a postdoc in SCMS before returning back to SJTU, mentored by Prof. Weixiao Shen. His research field is smooth dynamics in ergodic theory & dynamical systems, with specific interests in non-uniformly hyperbolicity-related topics, such as thermodynamic formalism, stochastic properties of equilibrium measures, multifractal analysis, ergodic optimization, etc. He is also interested in one-dimensional dynamics.
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