3 citations · 6 across the 10 of their papers we have counts for
7 papers · 1 filter
Coalescence times for critical Galton-Watson processes with immigration
Rong-Li Liu, Yan-Xia Ren, Yingrui Wang
Let be the coalescence time of two particles picked at random from the th generation of a critical Galton-Watson process with immigration, and let be the coalesc…
Subcritical superprocesses conditioned on non-extinction
Rongli Liu, Yan-Xia Ren, Renming Song +1
We consider a class of subcritical superprocesses with general spatial motions and general branching mechanisms. We study the asymptotic behaviors of $\mathbf Q_{…
Convergence rate for a class of supercritical superprocesses
Rongli Liu, Yan-Xia Ren, Renming Song
Suppose is a supercritical superprocess. Let be the non-negative eigenfunction of the mean semigroup of corresponding to the principal eigenvalue .…
Quasi-stationary distributions for subcritical superprocesses
Rongli Liu, Yan-Xia Ren, Renming Song +1
Suppose that is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of , we prove the Yaglom limit of exists and identify all quasi-statio…
Coding multitype branching forests: application to the law of the total progeny of branching forest and to enumerations
Loïc Chaumont, Rongli Liu
By extending the breadth first search algorithm to any d-type critical or subcritical irreducible branching forest, we show that such forests may be encoded through d independent,…
Strong law of large number of a class of super-diffusions
Rong-Li Liu, Yan-Xia Ren, Renming Song
In this paper we prove that, under certain conditions, a strong law of large numbers holds for a class of super-diffusions corresponding to the evolution equation $\partial_t u…
condition for supercritical branching Hunt processes
Rong-Li Liu, Yan-Xia Ren, Renming Song
In this paper we use the spine decomposition and martingale change of measure to establish a Kesten-Stigum theorem for branching Hunt processes. This result is a generali…