Poisson representations of branching Markov and measure-valued branching processes
نویسندگان
چکیده
منابع مشابه
Poisson representations of branching Markov and measure-valued branching processes
Representations of measure-valued processes in terms of countable systems of particles are constructed for models with spatially varying birth and death rates. Each particle has a location and a “level,” but unlike earlier constructions, the levels change with time. In fact, death of a particle occurs only when the level of the particle hits infinity. For each time t the joint distribution of l...
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Representations of branching Markov processes and their measurevalued limits in terms of countable systems of particles are constructed for models with spatially varying birth and death rates. Each particle has a location and a “level,” but unlike earlier constructions, the levels change with time. In fact, death of a particle occurs only when the level of the particle crosses a specified level...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2011
ISSN: 0091-1798
DOI: 10.1214/10-aop574