Competing species superprocesses with infinite variance.
Local extinction for superprocesses in random environments.
Competing super-Brownian motions as limits of interacting particle systems.
Strong solutions for stochastic differential equations with jumps
General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada–Watanabe type. The results are applied to stochastic equations driven by spectrally positive Lévy processes.
Mutually catalytic branching in the plane: Infinite measure states.
Mutually catalytic branching in the plane : uniqueness
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