Markov dynamics on the cone of discrete Radon measures

We start with a brief overview of the known facts about the spaces of
discrete Radon measures those may be considered as generalizations of configuration
spaces. Then we study three Markov dynamics on the spaces of discrete Radon
measures: analogues of the contact model, of the Bolker–Dieckmann–Law–Pacala
model, and of the Glauber-type dynamics. We show how the results obtained
previously for the configuration spaces can be modified for the case of the spaces of
discrete Radon measures.