等价类空间中离散时间选举-排它混合模型的遍历性

Egrodicity of mixture of discrete time the voter model and the exclusion process in equivalent class spaces

利用李雅谱诺夫函数首先证明了等价类空间中离散时间非紧邻选举模型是正常返的,且首次击中D0时刻的阶为15/14,其次给出了等价类空间中离散时间非紧邻选举模型与排它过程的混合模型遍历性的一个判别准则,从而推广和改进了紧邻情形的相应结果.

In this paper,we maily prove that discrete time non-nearest neighbor voter model in equivalent class spaces is positive recurrent by Lyapunov functions and the order of the time that the system first hits D0 is 15/14. Moreover we obtain criteria for the ergodicity of mixture process. So we generalize and improve the known results .