Stable intersections of Cantor sets

讲座题目：Stable intersections of Cantor sets

讲座时间 Datetime:2026年9月29日，周二，14：00-17：00

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 博士

单位 Affiliation:Federal University of Rio de Janeiro – Brazil 

报告摘要 Abstract:

The regular Cantor sets are important objects of study in dynamical systems, number theory and other areas. Stable intersections and arithmetic differences of Cantor sets are used in the study of homoclinic bifurcations, Markov and Lagrange spectra and so on. In this talk, we present techniques that help us to detect the existence of stable intersections or extremal intersections between pairs of Cantor sets. We will do that be studying the thickness of the Cantor sets and using results such as the Newhouse Gap Lemma.

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.