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math.PR2021
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 .…
math.PR2020
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…
math.PR2011★ 2 cited
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…