Stationary Harmonic Measure and DLA in the Upper half Plane
发布时间：2018年01月03日
浏览次数：6672
发布者: Xiaoni Tan
主讲人： Dr. Yuan Zhang (Texas A&M University)
活动时间： 从 2018-01-08 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全29教室
In this talk, we introduce the stationary harmonic measure in the upper half plane. By controlling the bounds of this measure, we are able to define a continuous diffusion limit aggregation (DLA) in the upper half plane with absorbing boundary conditions. We prove that the growth rate of the longest arm in the DLA with respect to time $t$ is no more than $o(t^{2+\epsilon})$.
