We prove that Fleming –Viot operators with parent-independent
mutation satisfy a logarithmic Sobolev inequality ifand only ifthe set oftypes
is finite.
@article{1019160256,
author = {Stannat, Wilhelm},
title = {On the validity of the log-Sobolev inequality for symmetric
Fleming-Viot operators},
journal = {Ann. Probab.},
volume = {28},
number = {1},
year = {2000},
pages = { 667-684},
language = {en},
url = {http://dml.mathdoc.fr/item/1019160256}
}
Stannat, Wilhelm. On the validity of the log-Sobolev inequality for symmetric
Fleming-Viot operators. Ann. Probab., Tome 28 (2000) no. 1, pp. 667-684. http://gdmltest.u-ga.fr/item/1019160256/