From Wikipedia, the free encyclopedia
In
probability theory , a Fleming–Viot process (F–V process) is a member of a particular subset of
probability measure -valued
Markov processes on
compact
metric spaces , as defined in the 1979 paper by
Wendell Helms Fleming and Michel Viot. Such processes are
martingales and
diffusions .
The Fleming–Viot processes have proved to be important to the development of a mathematical basis for the theories behind
allele drift .
They are generalisations of the Wright–Fisher process and arise as infinite population limits of suitably rescaled variants of
Moran processes .
See also
References
Fleming, W. H., Michel Viot, M. (1979)
"Some measure-valued Markov processes in population genetics theory" (PDF format) Indiana University Mathematics Journal , 28 (5), 817–843.
Ferrari, Pablo A.; Mari, Nevena
"Quasi stationary distributions and Fleming Viot processes"
Archived 2016-03-03 at the
Wayback Machine , Lecture presentation
Asselah, A.; Ferrari, P. A.; Groisman, P. (2011). "Quasistationary distributions and Fleming-Viot processes in finite spaces". Journal of Applied Probability . 48 (2): 322.
arXiv :
0904.3039 .
doi :
10.1239/jap/1308662630 .
S2CID
7206192 .