The Longtime Behavior of Branching Random Walk in a Catalytic Medium
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چکیده
منابع مشابه
The Longtime Behavior Of Branching Random Walk In A Catalytic Medium
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We consider catalytic branching random walk (the reactant) where the state space is a countable Abelean group. The branching is critical binary and the local branching rate is given by a catalytic medium. Here the medium is itself an autonomous (ordinary) branching random walk (the catalyst) – maybe with a different motion law. For persistent catalyst (transient motion) the reactant shows the u...
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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: Electronic Journal of Probability
سال: 1999
ISSN: 1083-6489
DOI: 10.1214/ejp.v4-49