Long-time behavior and coexistence in a mutually catalytic branching model
نویسندگان
چکیده
منابع مشابه
Catalytic and Mutually Catalytic Branching
In this paper we present an overview of recent work on lattice and measure-valued models of catalytic reactions and in particular catalytic branching systems. The main phenomena exhibited by nearly critical branching systems are dimension-dependent clumping in small and large space and time scales. Special emphasis is given to the e ects which occur when the catalyst is highly clumped and in pa...
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Consider a countable collection (t) of particles located on a countable group, performing a critical branching random walk where the branching rate of a particle is given by a random medium uctuating both in space and time. Here we study the case where the time{space random medium (t) (called catalyst) is also a critical branching random walk evolving autonomously while the local branching rate...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1998
ISSN: 0091-1798
DOI: 10.1214/aop/1022855746