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Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions
(Institute of Physics, 1996-06-07)
We analyze and simulate a two-dimensional Brownian multi-type particle system with death and branching (birth) depending on the position of particles of different types. The system is confined in the two-dimensional box, whose boundaries act as the sink of Brownian particles. The branching rate matches the death rate so that ...