论文标题
半迪里奇形式产生的狩猎过程的退出时间的变化公式
Variational formulas for the exit time of Hunt processes generated by semi-Dirichlet forms
论文作者
论文摘要
从常规的下限半迪里奇形式产生的一组狩猎过程中,出口时间的拉普拉斯变换的变化公式已建立。对于对称的马尔可夫过程,对于退出时间的指数矩,得出了变异公式。作为应用,我们提供了一些比较定理和指数时刻和庞加莱不平等的定量关系。
Variational formulas for the Laplace transform of the exit time from an open set of a Hunt process generated by a regular lower bounded semi-Dirichlet form are established. While for symmetric Markov processes, variational formulas are derived for the exponential moments of the exit time. As applications, we provide some comparison theorems and quantitative relations of the exponential moments and Poincaré inequalities.