The Transition Function of a Fleming-Viot Process

Abstract

Let S be a compact metric space, let θ≥0, and let ν0 be a Borel probability measure on S. An explicit formula is found for the transition function of the Fleming-Viot process with type space S and mutation operator (Af)(x)=(1/2)θ∫S(f(ξ)−f(x))ν0(dξ).