\(L \log L\) criterion for a class of multitype superdiffusions with non-local branching mechanisms

DOI10.1007/s11425-017-9294-9zbMath1420.60105arXiv1708.08219OpenAlexW2963391835WikidataQ127529763 ScholiaQ127529763MaRDI QIDQ2273280

Renming Song, Zhen-Qing Chen, Yan-Xia Ren

Publication date: 18 September 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08219

zbMATH Keywords

martingalespine decompositionswitched diffusionnon-local branching mechanismmultitype superdiffusion

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Almost sure, \(L_1\)- and \(L_2\)-growth behavior of supercritical multi-type continuous state and continuous time branching processes with immigration ⋮ Spine decomposition and $L\log L$ criterion for superprocesses with non-local branching mechanisms ⋮ Law of large numbers for supercritical superprocesses with non-local branching ⋮ Non local branching Brownian motions with annihilation and free boundary problems

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