Williams decomposition for superprocesses
From MaRDI portal
Publication:1748927
DOI10.1214/18-EJP146zbMATH Open1387.60118arXiv1609.03265MaRDI QIDQ1748927
Author name not available (Why is that?)
Publication date: 15 May 2018
Published in: (Search for Journal in Brave)
Abstract: We decompose the genealogy of a general superprocess with spatially dependent branching mechanism with respect to the last individual alive (Williams decomposition). This is a generalization of the main result of Delmas and H'{e}nard [Electron. J. Probab.,18,1-43,2013] where only superprocesses with spatially dependent quadratic branching mechanism were considered. As an application of the Williams decomposition, we prove that, for some superprocesses, the normalized total mass will converge to a point mass at its extinction time. This generalizes a result of Tribe [Ann. Probab.,20,286-311,1992] in the sense that our branching mechanism is more general.
Full work available at URL: https://arxiv.org/abs/1609.03265
No records found.
No records found.
This page was built for publication: Williams decomposition for superprocesses
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1748927)
