# Longtime behavior of completely positively correlated Symbiotic Branching Model

@inproceedings{Glode2022LongtimeBO, title={Longtime behavior of completely positively correlated Symbiotic Branching Model}, author={Patric Karl Glode and Leonid Mytnik}, year={2022} }

. We study the longtime behavior of a continuous state Symbiotic Branching Model (SBM). SBM can be seen as a uniﬁed model generalizing the Stepping Stone Model, Mutually Catalytic Branching Processes, and the Parabolic Anderson Model. It was introduced by Etheridge and Fleischmann [EF04]. The key parameter in these models is the local correlation ρ between the driving Brownian Motions. The longtime behavior of all SBM exhibits a dichotomy between coexistence and non-coexistence of the two…

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