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Non existence of stable intersections of C¹-regular Cantor sets

  • 演讲者:Carlos Gustavo Moreira(巴西纯数学与应用数学研究所)

  • 时间:2023-12-05 14:00-15:30

  • 地点:理学院大楼M1001


Time: December 5, 12, 14, 2023, 14:00-15:30



Abstract

During the course I will discuss in detail my results on the non existence of C¹-stable intersections of regular Cantor sets.  We will also discuss applications for the study of homoclinic and heteroclinic tangencies in Dynamical Systems and for C¹-typical dynamical Markov and Lagrange spectra associated to horseshoes in surfaces.