Abstract
In this paper we investigate the structure of the equilibriumstate of three-dimensional catalytic super-Brownian motion where the catalyst is itself a classical super-Brownian motion.We show that the reactant has an infinite local biodiversity or genetic abundance. This contrasts to the finite local biodiversity of the equilibriumof classical super-Brownian motion. Another question we address is that of extinction of the reactant in finite time or in the long-time limit in dimensions
Citation
Klaus Fleischmann. Achim Klenke. "The biodiversity of catalytic super-Brownian motion." Ann. Appl. Probab. 10 (4) 1121 - 1136, November 2000. https://doi.org/10.1214/aoap/1019487609
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