天元讲堂(6.24-25)陈剑宇 Thermodynamic Formalism for Expanding Maps
报告题目:Thermodynamic Formalism for Expanding Maps I
报告人:陈剑宇教授(马塞诸塞州立大学 )
报告地点:维格堂319
报告时间:2019年6月24日, 9:30-11:30
摘要:In the first talk , we introduce the general theory of transfer operator for a topological exact expanding map of a compact metric space, give some elementaries that will be used in the rest talks.
报告题目:Thermodynamic Formalism for Expanding Maps II
报告人:陈剑宇教授(马塞诸塞州立大学 )
报告地点:维格堂319
报告时间:2019年6月24日, 2:00-4:00
摘要:In this talk , We shall give the detailed proofs of the Ruelle's Perron-Frobenius theorem, and show the existence and uniqueness of the equilibrium measures.
报告题目:Thermodynamic Formalism for Expanding Maps III
报告人:陈剑宇教授(马塞诸塞州立大学 )
报告地点:维格堂319
报告时间:2019年6月25日, 9:30-11:30
摘要:In this talk , We shall apply the machinery of thermodynamic formalism to prove some limit theorems in dynamical systems, e.g., the exponential decay of correlations and the Central Limit Theorem.