标题： 连续体Kawasaki模型的态的全局演化 显示英文标题

标题： The Global Evolution of States of a Continuum Kawasaki Model with Repulsion

摘要： 一个在$\mathds{R}^d$中进行随机跳跃并具有排斥作用的无限点粒子系统被研究。 系统的状态是粒子配置空间上的概率测度。 论文的结果是借助相应的关联函数构造了随时间全局演化的状态。 证明了对于每个初始的次泊松态$\mu_0$，构造的演化$\mu_0 \mapsto \mu_t$保持这一性质。 也就是说，对于所有$t>0$，$\mu_t$是次泊松的。 显示英文摘要

摘要： An infinite system of point particles performing random jumps in $\mathds{R}^d$ with repulsion is studied. The states of the system are probability measures on the space of particle's configurations. The result of the paper is the construction of the global in time evolution of states with the help of the corresponding correlation functions. It is proved that for each initial sub-Poissonian state $\mu_0$, the constructed evolution $\mu_0 \mapsto \mu_t$ preserves this property. That is, $\mu_t$ is sub-Poissonian for all $t>0$.