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Riemann-Liouville processes arising from Branching particle systems

By Yuqiang Li

Abstract

It is proved in this paper that Riemann-Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d,\alpha,\sigma(x))branching particle systems in the case of 1=d<\alpha<2 and \int_{\R}\sigma(x)\d x<\infty.Comment: 12 page

Topics: Mathematics - Probability, 60F17, 60J80
Year: 2012
DOI identifier: 10.1142/S0219493712500220
OAI identifier: oai:arXiv.org:1207.1766

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