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
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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Klenke.pdf
Angelegt am 13.04.2018 von Anita Kollwitz
Geändert am 09.05.2018 von Frank Wübbeling
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