The Markov and Lagrange Spectra in [3, c)

讲座题目：The Markov and Lagrange Spectra in [3, c)

讲座时间 Datetime:2026年10月29日，周四，8：00-11：00

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 博士

单位 Affiliation: Federal University of Rio de Janeiro – Brazil 

报告摘要 Abstract:

In the previous talk, we showed that [6, +∞) is contained in the Lagrange spectrum. This result was improved by Freiman: he proved that exist c < 6 such that [c, +∞) is contained in the Markov and Lagrange Spectra. In this talk, we present a study of the Hausdorff dimension of Markov and Lagrange Spectra in (3, c), where c is the Freiman constant.

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 theSchool ofMathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with the Dynamical Systems Group.