Generalized Fleming-Viot Processes with Mutations

Add to your list(s) Download to your calendar using vCal

• Mytnik, L (Technion)
• Thursday 13 September 2012, 09:00-09:50
• Seminar Room 1, Newton Institute.

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:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.