Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination
Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 104-122
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Reversibility of the Fleming-Viot process with mutation, selection, and recombination is well understood. In this paper, we study the reversibility of a system of Fleming-Viot processes that live on a countable number of colonies interacting with each other through migrations between the colonies. It is shown that reversibility fails when both migration and mutation are non-trivial.
Feng, Shui; Schmuland, Byron; Vaillancourt, Jean; Zhou, Xiaowen. Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination. Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 104-122. doi: 10.4153/CJM-2010-071-1
@article{10_4153_CJM_2010_071_1,
author = {Feng, Shui and Schmuland, Byron and Vaillancourt, Jean and Zhou, Xiaowen},
title = {Reversibility of {Interacting} {Fleming{\textendash}Viot} {Processes} with {Mutation,} {Selection,} and {Recombination}},
journal = {Canadian journal of mathematics},
pages = {104--122},
year = {2011},
volume = {63},
number = {1},
doi = {10.4153/CJM-2010-071-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-071-1/}
}
TY - JOUR AU - Feng, Shui AU - Schmuland, Byron AU - Vaillancourt, Jean AU - Zhou, Xiaowen TI - Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination JO - Canadian journal of mathematics PY - 2011 SP - 104 EP - 122 VL - 63 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-071-1/ DO - 10.4153/CJM-2010-071-1 ID - 10_4153_CJM_2010_071_1 ER -
%0 Journal Article %A Feng, Shui %A Schmuland, Byron %A Vaillancourt, Jean %A Zhou, Xiaowen %T Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination %J Canadian journal of mathematics %D 2011 %P 104-122 %V 63 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-071-1/ %R 10.4153/CJM-2010-071-1 %F 10_4153_CJM_2010_071_1
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