Abstract
Let $S$ be a compact metric space, let $\theta \geq 0$, and let $\nu_0$ 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 $(Af)(x) = (1/2)\theta\int_S(f(\xi) - f(x))\nu_0(d\xi)$.
Citation
S. N. Ethier. R. C. Griffiths. "The Transition Function of a Fleming-Viot Process." Ann. Probab. 21 (3) 1571 - 1590, July, 1993. https://doi.org/10.1214/aop/1176989131
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