Long-term behaviour of a cyclic catalytic branching system

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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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Long-term Behavior of a Cyclic Max-type System of Difference Equations

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2011

ISSN: 0304-4149

DOI: 10.1016/j.spa.2010.10.004