Schmidt games and nondense orbits of dynamical systems
主 题: Schmidt games and nondense orbits of dynamical systems
报告人: Dr. Weisheng Wu (School of Mathematical Science, PKU)
时 间: 2015-04-21 14:00 - 15:00
地 点: Room 29 at Quan Zhai, BICMR
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.