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).
%0 Journal Article
%1 ethier1993transition
%A Ethier, S. N.
%A Griffiths, R. C.
%D 1993
%I Institute of Mathematical Statistics
%J The Annals of Probability
%K Wright-Fisher_diffusion coalescent_theory special_functions
%N 3
%P pp. 1571-1590
%T The Transition Function of a Fleming-Viot Process
%U http://projecteuclid.org/euclid.aop/1176989131
%V 21
%X 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).
@article{ethier1993transition,
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).},
added-at = {2013-01-25T00:57:55.000+0100},
author = {Ethier, S. N. and Griffiths, R. C.},
biburl = {https://www.bibsonomy.org/bibtex/2d09fd0e8d150641b04e432488f1311cf/peter.ralph},
interhash = {897ef08b72951b0bb45a21998aac2e56},
intrahash = {d09fd0e8d150641b04e432488f1311cf},
issn = {00911798},
journal = {The Annals of Probability},
keywords = {Wright-Fisher_diffusion coalescent_theory special_functions},
language = {English},
number = 3,
pages = {pp. 1571-1590},
publisher = {Institute of Mathematical Statistics},
timestamp = {2013-01-25T00:58:27.000+0100},
title = {The Transition Function of a Fleming-Viot Process},
url = {http://projecteuclid.org/euclid.aop/1176989131},
volume = 21,
year = 1993
}