扩散过程代数式收敛比较判敛法

Comparison Theorem for Algebraic Convergence of Diffusion Processes

研究不同的马氏半群无穷小算子之间代数式收敛的关系,获得了若干比较定理.从而可将许多一般形式的扩散算子与特殊情形进行比较,将其化归为特殊的简单易算的情形.

The relations of different operators for reversible Markov processes are studied. And some comparison theorems for the algebraic L^2 convergence are obtained. Some operator can be compared with a special and simple case so that the algebraic convergence can be got.