Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior
نویسندگان
چکیده
منابع مشابه
Infinite Rate Mutually Catalytic Branching
Consider the mutually catalytic branching process with finite branching rate γ. We show that as γ → ∞, this process converges in finite-dimensional distributions (in time) to a certain discontinuous process. We give descriptions of this process in terms of its semigroup in terms of the infinitesimal generator and as the solution of a martingale problem. We also give a strong construction in ter...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2012
ISSN: 0091-1798
DOI: 10.1214/10-aop621