Supercritical branching Brownian motion with catalytic branching at the origin
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DOI: 10.1007/s11425-017-9267-7
Abstract: We consider a catalytic branching Brownian motion with general branching which takes place only when particles are at the origin at a rate β > 0 on the local time scale. We first establish a… read more here.
Keywords: branching brownian; branching; catalytic branching; brownian motion ... See more keywords
Branching Brownian motion in a periodic environment and existence of pulsating traveling waves
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DOI: 10.1214/23-ejp960
Abstract: We study the limits of the additive and derivative martingales of one-dimensional branching Brownian motion in a periodic environment. Then we prove the existence of pulsating travelling wave solutions of the corresponding F-KPP equation in… read more here.
Keywords: brownian motion; existence pulsating; motion periodic; branching brownian ... See more keywords