How Are Points Distributed in a Horseshoe?

讲座题目：How Are Points Distributed in a Horseshoe?
讲座时间 Datetime:2026年11月18日， 星期三， 08：00 -11：00
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: 
In this talk, we study the Hausdorff dimension of small subsets of the horseshoe associated with a C² 
diffeomorphism on a two-dimensional surface. This study leads to a notion of the distribution of points in such fractal objects and motivates an analogous result for Cantor sets in ℝ.
报告人简介：
Talita Santos de Araujo Marinho is 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 the School of Mathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with the Dynamical Systems Group.