The backbone decomposition for superprocesses with non-local branching
A. Murillo-Salas, J.L. P\'erez
TL;DR
This paper introduces a path-wise backbone decomposition for supercritical superprocesses with non-local branching, extending previous results to a more general setting using Dynkin-Kuznetsov N-measures.
Contribution
It provides the first backbone decomposition for superprocesses with non-local branching, broadening the understanding of their structure.
Findings
Backbone decomposition established for non-local branching superprocesses
Utilizes Dynkin-Kuznetsov N-measures in the analysis
Extends previous results to a more general class of superprocesses
Abstract
We provide a path-wise "backbone" decomposition for supercritical superprocesses with non-local branching. Our result complements a related result obtained for super-critical superprocesses without non-local branching in [1]. Our approach relies heavily on the use of so-called Dynkin-Kuznetsov N-measures.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods