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An infinite system of point particles performing random jumps in$\mathds{R}^d$ with repulsion is studied. The states of the system areprobability measures on the space of particle's configurations. The result ofthe paper is the construction of the global in time evolution of states withthe help of the corresponding correlation functions. It is proved that for eachinitial 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$t>0$.

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