44 citations · 98 across the 6 of their papers we have counts for
4 papers · 1 filter
Large and moderate deviations for record numbers in some non-nearest neighbor random walks
Yuqiang Li, Qiang Yao
The deviation principles of record numbers in random walk models have not been completely investigated, especially for the non-nearest neighbor cases. In this paper, we derive the…
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))…
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…
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…