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- W2103644883 abstract "Consider the infinite rate mutually catalytic branching process (IMUB) constructed in [Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence (2008) Preprint] and [Ann. Probab. 38 (2010) 479-497]. For finite initial conditions, we show that only one type survives in the long run if the interaction kernel is recurrent. On the other hand, under a slightly stronger condition than transience, we show that both types can coexist." @default.
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- W2103644883 date "2012-01-01" @default.
- W2103644883 modified "2023-09-29" @default.
- W2103644883 title "Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior" @default.
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- W2103644883 doi "https://doi.org/10.1214/10-aop621" @default.
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