单生反应扩散过程的最优耦合及其应用

THE OPTIMAL COUPLING FOR SINGLE-BIRTH REACTION-DIFFUSION PROCESSES AND ITS APPLICATIONS

论述了单生反应扩散过程最优耦合的存在性，并应用最优耦合对一类单生反应扩散过程的遍历性进行了研究，给出了一个遍历准则．

It is proved that, the existence of ρ-optimal coupling for single- birth reaction-diffusion processes and applied the optimal coupling to study the ergodicity for autocqtalyticmodel and given one criterion for its ergodicity.