Stanislav Volkov: Asymptotic behaviour of some locally-interacting processes

We study locally-interacting birth-and-death processes on nodes of a finite connected graph; the model which is motivated by modelling interactions between  populations, adsorption-desorption processes, and is related to interacting particle systems,  Gibbs models, and interactive urn models.
Alongside with general results, we obtain a more detailed description of the asymptotic behaviour in the case of certain special graphs.  Based on a joint work with Vadim Scherbakov (Royal Holloway, University of London).