On convergence of dynamics of hopping particles to a birth-and-death process in continuum

Abstract

We show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of a dynamics of interacting hopping particles (Kawasaki dynamics)

15 pages

References in corpus (3)

• Spatial birth and death processes as solutions of stochastic equations
• Non-equilibrium stochastic dynamics in continuum: The free case
• On convergence of generators of equilibrium dynamics of hopping particles to generator of a birth-and-death process in continuum