Immortal particle for a catalytic branching process
نویسندگان
چکیده
منابع مشابه
Immortal Particle for a Catalytic Branching Process†
We study the existence and some asymptotic properties of a conservative branching particle system for which birth and death are triggered by contact with a set. Sufficient conditions for the process to be non-explosive are given, solving a long standing open problem. With probability one, it is shown that only one ancestry survives. In special cases, the evolution of the surviving particle is s...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2011
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-011-0347-6