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Strong law of large numbers for supercritical superprocesses under second moment condition

Consider a supercritical superprocess X = {Xt, t 〉~ O} on a locally compact separable metric space (E, m). Suppose that the spatial motion of X is a Hunt process satisfying certain conditions and that the branching mechanism is of the form

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Bibliographic Details
Published in:Frontiers of mathematics in China 2015-08, Vol.10 (4), p.807-838
Main Authors: Chen, Zhen-Qing, Ren, Yan-Xia, Song, Renming, Zhang, Rui
Format: Article
Language:English
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Summary:Consider a supercritical superprocess X = {Xt, t 〉~ O} on a locally compact separable metric space (E, m). Suppose that the spatial motion of X is a Hunt process satisfying certain conditions and that the branching mechanism is of the form
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-015-0482-y