Schmidt games and nondense orbits of dynamical systems
发布时间:2015年04月21日
浏览次数:8597
发布者:
主讲人: Dr. Weisheng Wu (School of Mathematical Science, PKU)
活动时间: 从 2015-04-21 00:00 到 00:00
场地: Room 29 at Quan Zhai, BICMR
Speaker: Dr. Weisheng Wu (School of Mathematical Science, PKU)
Time: 14:00--15:00, 21 April
Place: Room 29 at Quan Zhai, BICMR
Abstract: In this talk we will discuss Schmidt games. A winning set for Schmidt games played on a metric space is large in the following sense: it is dense, has full Hausdorff dimension, and is stable under countable intersections. We will apply Schmidt games to show that the set of points with nondense orbit under certain dynamical systems is winning and hence has full Hausdorff dimension.