报告题目:Topological methods in ergodic theory: gluing orbit properties(Ⅰ)

报告人: Paulo Varandas， Universidade Federal da Bahia,UFBA(巴伊亚联邦大学)

报告时间:2017年3月28日(周二)上午10：00-11：30

报告地点:维格堂113

报告摘要:The use of topological methods (as shadowing or specification) in dynamics has been much successful either in the characterization of uniformly hyperbolicity or as important tools to describe the thermodynamic formalism, the multifractal analysis, or large deviations for uniformly hyperbolic dynamical systems. In this series of lectures present talk on (weaker) gluing orbit properties, a comparison between these with the original notions of specification and how these can be used to prove strong recurrence and describe the space of invariant measures.

Bowen's specification for group actions, Birkhoff irregular sets and large deviation principle for uniformly hyperbolic dynamical systems, gluing orbit property (definition and examples).