Law of large numbers for branching symmetric hunt processes with measure-valued branching rates
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Publication:2412510
DOI10.1007/S10959-016-0671-YzbMATH Open1418.60021arXiv1503.00106OpenAlexW1765559882MaRDI QIDQ2412510
Author name not available (Why is that?)
Publication date: 23 October 2017
Published in: (Search for Journal in Brave)
Abstract: We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the branching mechanism being general and state-dependent. Our work is motivated by recent work on strong law of large numbers for branching symmetric Markov processes by Chen-Shiozawa [J. Funct. Anal., 250, 374--399, 2007] and for branching diffusions by Engl"ander-Harris-Kyprianou [Ann. Inst. Henri Poincar'e Probab. Stat., 46, 279--298, 2010]. Our results can be applied to some interesting examples that are covered by neither of these papers.
Full work available at URL: https://arxiv.org/abs/1503.00106
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