Branching diffusion in inhomogeneous media

Article type: Research Article

Authors: Koralov, L.

Affiliations: Department of Mathematics, University of Maryland, College Park, MD 20742, USA. E-mail: [email protected]

Abstract: We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. In the super-critical regime, we describe the asymptotics of the number of particles in a given domain. In the sub-critical and critical regimes, we describe the distribution of the limiting number of particles.

Keywords: critical phenomena, spatial branching processes, phase transition, correlation functions

DOI: 10.3233/ASY-2012-1133

Journal: Asymptotic Analysis, vol. 81, no. 3-4, pp. 357-377, 2013