Archimedes principle for Brownian liquid
主 题: Archimedes principle for Brownian liquid
报告人: 陈振庆 教授(University of Washington, USA)
时 间: 2010-12-27 16:00-17:00
地 点: 理科一号楼1556
We consider a family of hard core objects moving as independent
Brownian motions confined to a vessel by reflection. These are
subject to gravitational forces modeled by drifts. The stationary
distribution for the process has many interesting implications,
including an illustration of the Archimedes\' principle. The analysis
rests on constructing reflecting Brownian motion with drift in a
general open connected domain and studying its stationary
distribution. In dimension two we utilize known results about sphere
packing.