Stochastic Semigroups and Random Mass Transfer

Abstract

We consider the problem of random mass transfer on a metric compactum defined by a purely discontinuous stochastic semigroup $T_t^s$ . We give a description of this semigroup based on a Markov process with random transition probability. We present conditions for the independence of measure-valued processes of the form $T_t^0 {\mu}_{0}$ , depending on the initial mass μ₀