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Branching processes, random trees and superprocesses - MaRDI portal

Branching processes, random trees and superprocesses (Q1126820)

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scientific article; zbMATH DE number 1184367
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Branching processes, random trees and superprocesses
scientific article; zbMATH DE number 1184367

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    Branching processes, random trees and superprocesses (English)
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    5 August 1998
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    This is a useful review article. Recent developments concerning the genealogy of branching processes is the first topic; in particular, results from the author and \textit{Y. Le Jan} [Ann Probab. 26, 213-252 (1998)] that make sense of the idea of a genealogy for continuous-state branching processes are explained. The approach to genealogy is used in outlining a construction of superprocesses; then, connections with semilinear partial differential equations, statistical mechanics and interacting particle systems are sketched.
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    semilinear partial differential equations
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    Lévy processes
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    voter model
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    lattice tree
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