Mutually Catalytic Branching in The Plane: Infinite Measure States
Mutually Catalytic Branching in The Plane: Infinite Measure States
A two-type infinite-measure-valued population in $R^2$ is constructed which undergoes diffusion and branching. The system is interactive in that the branching rate of each type is proportional to the local density of the other type. For a collision rate sufficiently small compared with the diffusion rate, the model is constructed …