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math.PR2012★ 2 cited
Riemann-Liouville processes arising from Branching particle systems
Yuqiang Li
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))…
math.PR2011★ 44 cited
Multivariate Operator-Self-Similar Random Fields
Yuqiang Li, Yimin Xiao
Multivariate random fields whose distributions are invariant under operator-scalings in both time-domain and state space are studied. Such random fields are called operator-self-si…
math.PR2011★ 11 cited
Occupation Time Fluctuations of Weakly Degenerate Branching Systems
Yuqiang Li, Yimin Xiao
We establish limit theorems for re-scaled occupation time fluctuations of a sequence of branching particle systems in with anisotropic space motion and weakly degenerate spl…