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Clustering and invariant measures for spatial branching models with infinite variance

Clustering and invariant measures for spatial branching models with infinite variance

We consider two spatial branching models on $\mathbb{R}^d$: branching Brownian motion with a branching law in the domain of normal attraction of a $1 + \beta$ stable law, $0 < \beta \leq 1$, and the corresponding high density limit measure valued diffusion. The longtime behavior of both models depends highly …