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Riemann-Liouville processes arising from Branching particle systems

Probability 2012-07-31 v2

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.

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Cite

@article{arxiv.1207.1766,
  title  = {Riemann-Liouville processes arising from Branching particle systems},
  author = {Yuqiang Li},
  journal= {arXiv preprint arXiv:1207.1766},
  year   = {2012}
}

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12 pages