Year: 2009
Type: preprint
Abstract: We develop an idea of Evans and O'Connell, Englander and Pinsky and Duquesne and Winkel by giving a pathwise construction of the so called `backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical $(1+β)$-superprocesses given in Etheridge and Williams \cite{EW}. Our approach takes an analytical point of view which is more in the spirit of the original Evans and O'Connell paper.
Source: arXiv (Cornell University)
Authors: Berestycki, Julien, Kyprianou, Andreas E., Murillo, Antonio
Institution: Laboratoire de Probabilités et Modèles Aléatoires
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
OpenAlex ID: W2952308785