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Interacting populations in fluctuating environments

Stochastik-Kolloquium Frankfurt

Datum: 15.06.2018

Zeit: 16:15 Uhr

Abstract:

The Fleming-Viot process is a measure-valued diffusion that evolves under resampling (genetic drift), mutation, and selection. We consider interacting Fleming-Viot models for which the selection intensities are stochastic processes. We identify these measure-valued population models in fluctuating environments as the unique solutions of ``quenched'' martingale problems and present some convergence, ergodic, and averaging theorems for them. To this end, we extend the method of duality for time-inhomogeneous and quenched martingale problems.

Nummer

71

Referent

Dr. Arash Jamshidpey, IMPA Rio de Janeiro / Carleton University Ottawa

Ort

Goethe-Universität Frankfurt, Campus Bockenheim
Robert-Mayer-Straße 10, Seminarraum 110, 60054 Frankfurt am Main


Kooperationspartner

Technische Universität Darmstadt, Johannes Gutenberg-Universität Mainz

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