Cantor Sets in Higher Dimensions
发布时间：2025年02月21日
浏览次数：789
发布者: Wenqiong Li
主讲人： Meysam Nassiri (Institute for Research in Fundamental Sciences)
活动时间： 从 2025-02-26 14:00 到 15:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Cantor sets naturally arise as invariant sets in most dynamical systems. Their geometry and intersections play a fundamental role in numerous problems in dynamical systems, particularly in understanding how dynamics change under small perturbations. While the structure of Cantor sets is well understood in one dimension, their geometry in higher dimensions remains poorly understood. In this lecture, I will present recent advances on stable intersections of Cantor sets in arbitrary dimensions, extending the celebrated work of Moreira and Yoccoz in dimension one. This is joint work with Mojtaba Zareh Bidaki.
