Catalytic and mutually catalytic branching (Q2759739)

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scientific article; zbMATH DE number 1683694
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Catalytic and mutually catalytic branching
scientific article; zbMATH DE number 1683694

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    25 April 2002
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    mutually catalytic branching
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    catalytic branching
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    catalytic reaction-diffusion systems
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    particle systems
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    collision local time
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    measure-valued processes
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    Catalytic and mutually catalytic branching (English)
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    This paper is an overview on recent work on lattice and measure-valued models of catalytic reactions. It includes a survey of results on catalytic reactions of particle systems in \(Z^d\) and on continuum space models of catalyst branching in \(R^d\). Structural properties of catalytic super-Brownian motions such as absolute continuity, long-term local and global extinction or persistence, and compact support properties are described. Recent results on interactive models of mutually catalytic branching are given.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00044].
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