一维紧邻的接触过程与选举模型的混合过程的光滑性与单调性

Smoothness and Monotonicity for Mixture Process of One Dimensional Nearest-Neighbor Contact Processes and Voter Model

证明了一维紧邻的接触过程与选举模型的混合过程,其极点平稳分布除在临界点λc 处外总是光滑的,且该混合过程具有单调性.

We maily proved that in mixture process of one dimensional nearest-neighbor contact processes and voter model, the stationary distributions are smooth in the perturbation parameter except at the critical point λ_c. Moreover, this mixture process is monotone.