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Spatial Branching Processes and Subordination

Published online by Cambridge University Press:  20 November 2018

Jean Bertoin ,
Jean-François Le Gall  and
Yves Le Jan
Jean Bertoin
Affiliation:
Laboratoire de Probabilités, Université Paris 6, 4, Place Jussieu, 75252 Paris Cedex 05, France
Jean-François Le Gall
Affiliation:
Laboratoire de Probabilités, Université Paris 6, 4, Place Jussieu, 75252 Paris Cedex 05, France e-mail: [email protected]
Yves Le Jan
Affiliation:
Département de Mathématiques, Université Paris-Sud, Batiment 425, Centre d’Orsay, 91405 Orsay Cedex, France
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Abstract

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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.

Keywords

60J8060J2560J2760J5560G57
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 1 , 01 February 1997 , pp. 24 - 54
Copyright
Copyright © Canadian Mathematical Society 1997

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