学术报告(王涛 10.28)
Some variational formulas for semi-Dirichlet forms with applications to comparison theorems and Polya-type inequalities
发布人:杨晓静
发布日期:2023-10-26
主题
Some variational formulas for semi-Dirichlet forms with applications to comparison theorems and Polya-type inequalities
活动时间
-
活动地址
数学楼 415
主讲人
王涛 江苏师范大学
主持人
巫静
摘要
Some variational formulas for the exit time and asymptotic variance for a Hunt process generated by a regular lower bounded semi-Dirichlet form are established. While for symmetric cases, variational formulas are derived for the exponential moments of the exit time.
As applications, we provide some comparison theorems for exit time and asymptotic variance, and present the Polya-type inequalities which describe quantitative relations of the exponential/polynomial moments and Poincare inequalities.