Spatial branching processes and subordination

Jean Bertoin, Jean François Le Gall, Yves Le Jan

Research output: Contribution to journalArticlepeer-review

Abstract

We present a subordination theory for spatial branching processes. This theory is developed in three different settings, first for branching Markov processes, then for superprocesses and finally for the path-valued process called the Brownian snake. As a common feature of these three situations, subordination can be used to generate new branching mechanisms. As an application, we investigate the compact support property for superprocesses with a general branching mechanism.

Original languageEnglish (US)
Pages (from-to)24-54
Number of pages31
JournalCanadian Journal of Mathematics
Volume49
Issue number1
DOIs
StatePublished - Feb 1997

ASJC Scopus subject areas

  • Mathematics(all)

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