时间：2017年11月11日（星期六）16：10
地点：旗山校区理工北楼601
主办：数学与信息学院
主讲：常远洋
专家简介：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 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.