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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Generalized Fleming-Viot Processes with Mutations
Generalized Fleming-Viot Processes with MutationsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. Stochastic Partial Differential Equations (SPDEs) We consider a generalized Fleming-Viot process with index $lpha in (1,2)$ with constant mutation rate $ heta>0$. We show that for any $ heta>0$, with probability one, there are no times at which there is a finite number of types in the population. This is different from the corresponding result of Schmuland for a classical Fleming-Viot process, where such times exist for $ heta$ sufficiently large. Along the proof we introduce a measure-valued branching process with non-Lipschitz interactive immigration which is of independent interest. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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