The backbone decomposition for superprocesses with non-local branching

2014/09/11 by A. Murillo-Salas, Murillo-Salas, A., J. L. Pérez +1
Mathematics · Physics and Astronomy · #60E10 #60J80 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1409.3493

openalex publication_date 2014/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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