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Law of large numbers for superdiffusions: the non-ergodic case


In previous work of D. Turaev, A. Winter and the author, the Law of Large Numbers for the local mass of certain superdiffusions was proved under an ergodicity assumption. In this paper we go beyond ergodicity, that is we consider cases when the scaling for the expectation of the local mass is not purely exponential. Inter alia, we prove the analog of theWatanabe–Biggins LLN for super-Brownian motion.

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