Riemann-Liouville processes arising from Branching particle systems

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,α,σ(x))branching particle systems in the case of 1=d<α<2 and \int_{\R}σ(x)\d x<\infty.

12 pages

References in corpus (4)

• Occupation time limits of inhomogeneous Poisson systems of independent particles
• A long range dependence stable process and an infinite variance branching system
• Occupation time fluctuations of an infinite variance branching system in large dimensions
• Fluctuation limits of strongly degenerate branching systems