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The dynamics of an infinite continuum system of randomly jumping andcoalescing point particles is studied. The states of the system are probabilitymeasures on the corresponding configuration space $\Gamma$ the evolution ofwhich is constructed in the following way. The evolution of observables $F_0\toF_t$ is obtained from a Kolmogorov-type evolution equation. Then the evolutionof states $\mu_0\to \mu_t$ is defined by the relation $\mu_0(F_t) =\mu_t(F_0)$for $F_0$ belonging to a measure-defining class of functions. The main resultof the paper is the proof of the existence of the evolution of this type for abounded time horizon.

Random jumps and coalescence in the continuum: evolution of states of an infinite system