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Mutually catalytic branching in the plane: Finite measure states

Mutually catalytic branching in the plane: Finite measure states

We study a pair of populations in $\mathbb{R}^{2}$ which undergo 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 diffusion rate sufficiently large compared with the branching rate, the model is constructed …