Hyperbolic dynamics and the Birkhoff Spectrum

讲座题目：Hyperbolic dynamics and the Birkhoff Spectrum

讲座时间 Datetime:2026年9月24日，周四，14：00-17：00

地点 Venue:海琴二号A412-1

主持人 Host：Sergio Romana  副教授

报告人 Speaker: Talita Santos de Araujo Marinho

单位 Affiliation:Federal University of Rio de Janeiro – Brazil 

报告摘要 Abstract:

The basic sets arises naturally in hyperbolic dynamics as building block for this theory. In this talk, we will define the Birkhoff spectrum for basic sets and use hyperbolics properties of basic sets to study topological properties of the Birkhoff Spectrum. We establish sufficient condition so that the Birkhoff Spectrum are dense. Furthemore, we will study the case in which the Spectrum is a discrete set, allowing us to conclude rigidity properties. This is a joint work with Sergio Romana.

报告人简介：

Talita Santos de Araujo Marinhois a PhD student at the Federal University of Rio de Janeiro (UFRJ),Brazil, working in the field of dynamical systems. She is currently a visiting scholar at theSchool ofMathematics (Zhuhai), Sun Yat-sen University,where she is completing a six-month academic research collaboration with the Dynamical Systems Group.