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Anita Kollwitz

Achim Klenke, Mainz: Infinite rate symbiotic branching on the real line: The tired frogs model (Oberseminar Mathematische Stochastik)

Wednesday, 09.05.2018 17:00 im Raum SRZ 205

Mathematik und Informatik

Consider a population of infinitesimally small frogs on the real line. Initially the frogs on the positive half-line are dormant while those on the negative half-line are awake and move according to the heat ow. At the interface, the incoming wake frogs try to wake up the dormant frogs and succeed with a probability proportional to their amount among the total amount of involved frogs at the specific site. Otherwise, the incoming frogs also fall asleep. This frog model is a special case of the infinite rate symbiotic branching process on the real line with different motion speeds for the two types. We construct this frog model as the limit of approximating processes and compute the structure of jumps. We show that our frog model can be described by a stochastic partial differential equation on the real line with a jump type noise. Joint work with: Leonid Mytnik



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Angelegt am Friday, 13.04.2018 14:15 von Anita Kollwitz
Geändert am Wednesday, 09.05.2018 12:59 von Frank Wübbeling
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