Wednesday, January 31, 2018 - 16:00 in V3-201
Spatial logistic model in random environment
A talk in the Bielefeld Stochastic Afternoon series by
Martin Friesen from Universität Wuppertal
| Abstract: |
We study a spatial logistic model (system) where the birth mechanism is given by spatial branching and the death mechanism is due to competition of particles among each other but also due to competition with particles from a random Markovian environment given by a non-equilibrium Glauber dynamics.
We show that for small couplings of the system with the environment the state evolution is well-approximated by another (isolated) spatial logistic model with mortality rate obtained from averaging the competition w.r.t. the unique invariant Gibbs measure associated to the environment. This approximation is applicable for a general range of parameters including the over-critical regime.
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