Ergodicty Estimate For A Class Of Birth-death Processes

Under the condition that the boundary of the birth and death process is regular,the construction of the process is very complicated.On the one hand,the process may be non-conservative,on the other hand,after process explosion,it may appear similar to Brownian motion.Without considering ergodicity,its structure is very complex.This thesis is divided into two parts: the first is fundamental knowledge of birth-death processes,the second is ergodicity of birth-death processes under the condition that ? is regular,and give some estimates of their maximal ergodicity.