报告题目：Quantitative recurrence properties for x3 map on the Cantor ternary set
时间：2017年11月11日（星期六）16:10-16:55
地点：理工北楼601
主办：数学与信息学院
主讲：常远洋
参加对象：相关研究方向教师和研究生
报告人简介：常远洋，武汉大学博士，现为华南理工大学博士后。主要研究兴趣：遍历论、动力系统、分形几何、度量数论。
报告摘要: We study the quantitative recurrence properties for x3 map on the classical Cantor ternary set K. It is known by Poincaré’s Recurrence Theorem that almost all points on K are recurrent. We improve this by showing that the measure of the recurrent set is full or null according as a series diverges or converges. Moreover, similar dichotomy law holds for general Hausdorff measures by virtue of the mass transference principle developed by Beresnevich and Velani.
