Weak extinction versus global exponential growth of total mass for superdiffusions

DOI10.1214/14-AIHP645zbMath1341.60102arXiv1301.6842OpenAlexW2126069073MaRDI QIDQ5963225

Renming Song, Yan-Xia Ren, János Engländer

Publication date: 4 March 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6842

zbMATH Keywords

principal eigenvaluesuperdiffusionsuperprocessKato class\(h\)-transformgauge theoremgrowth boundmeasure-valued processtotal massweak extinction

Mathematics Subject Classification ID

Diffusion processes (60J60) Probabilistic potential theory (60J45) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (6)

Extinction properties of multi-type continuous-state branching processes ⋮ Spines, skeletons and the strong law of large numbers for superdiffusions ⋮ Spine decomposition and $L\log L$ criterion for superprocesses with non-local branching mechanisms ⋮ Williams decomposition for superprocesses ⋮ Limit theorems for some critical superprocesses ⋮ A generalization of the submartingale property: maximal inequality and applications to various stochastic processes

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