广义自旋变相过程存在定理的一个注记

NOTES FOR THE EXISTENCE THEOREM OF GENERALIZED SPIN-FLIP PROCESSES

序言本文利用[1]的方法与[4]的结果,给出相空间为Y_u(S是可数集,Y_u是有限集,u∈S)的广义自旋变相过程的一个存在定理,即定理1.1,利用定理1.1证明了[1]中出现的自旋变相过程的偶合过程的存在,并由此说明证明自旋变相过程偶合过程存在的一个通行方法。最后利用定理1.1讨论广义自旋变相过程的多元偶合问题,推广了唐守正、刘秀芳在[2]中得到的大部分结果。

Let S be a denumerable set. For each u∈S, Y_u is a finite set. In this paper, a theorem on existence of the generalized spin-flip processes with state space Y_u is obtained. As a consequence, theorems on existence of the coupled processes of the generalized spin-flip processes are proved.