• Corpus ID: 252383641

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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