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arxiv: 1207.1766 · v2 · pith:4UH2NJOQnew · submitted 2012-07-07 · 🧮 math.PR

Riemann-Liouville processes arising from Branching particle systems

classification 🧮 math.PR
keywords alphabranchingparticleprocessesriemann-liouvillesigmasystemsarise
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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.

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