21 citations · 27 across the 11 of their papers we have counts for
12 papers
On the differentiability of the local time of the ()-stable super-Brownian motion
Ziyi Chen, Jieliang Hong
We consider the local times of -stable -dimensional super-Brownian motion with . Mytnik and Perkins (2003) proved that the local time, denoted by , is joi…
Exceptional times for the instantaneous propagation of superprocess
Jieliang Hong, Leonid Mytnik
For a Dawson-Watanabe superprocess on , it is shown in Perkins (1990) that if the underlying spatial motion belongs to a certain class of Lévy processes that admi…
Rescaled SIR epidemic processes converge to super-Brownian motion in four or more dimensions
Jieliang Hong
In dimensions , by choosing a suitable scaling parameter, we show that the rescaled spatial SIR epidemic process converges to a super-Brownian motion with drift, thus comp…
A lower bound for p_c in range-R bond percolation in four, five and six dimensions
Jieliang Hong
For the range-R bond percolation in d=4,5,6, we obtain a lower bound for the critical probability p_c for R large, agreeing with the conjectured asymptotics and thus complementing…
Exceptional times for the instantaneous propagation of superprocess
Jieliang Hong, Leonid Mytnik
For a Dawson-Watanabe superprocess on , it is shown in Perkins (1990) that if the underlying spatial motion belongs to a certain class of Lévy processes that admi…
An upper bound for in range- bond percolation in two and three dimensions
Jieliang Hong
An upper bound for the critical probability of long range bond percolation in and is obtained by connecting the bond percolation with the SIR epidemic model, thus compl…
On the boundary local time measure of super-Brownian motion
Jieliang Hong
If is the total occupation local time of -dimensional super-Brownian motion, , for and , we construct a random measure , called the boundary loc…
Exit measure, local time and a boundary local time of super-Brownian motion
Jieliang Hong
We use a renormalization of the total mass of the exit measure from the complement of a small ball centered at for to give a new construction of the t…
On the topological boundary of the range of super-Brownian motion-extended version
Jieliang Hong, Leonid Mytnik, Edwin Perkins
We show that if is the boundary of the range of super-Brownian motion and dim denotes Hausdorff dimension, then with probability one, for any open set , $\…
Initial correlations of the Glasma energy-momentum tensor
Javier L. Albacete, Pablo Guerrero-Rodríguez, Cyrille Marquet
We present an analytical calculation of the covariance of the energy-momentum tensor associated to the gluon field produced in ultra-relativistic heavy ion collisions at early time…
Renormalization of local times of super-Brownian motion
Jieliang Hong
For the local time of super-Brownian motion starting from , we study its asymptotic behavior as . In , we find a normalization $ψ(x)=(1/(2π^2) \log (1…
Local behavior of local times of super Brownian motion
Jieliang Hong
For , in dimension , we study the asymptotic behavior of the local time of super-Brownian motion starting from as . Let $ψ(x)=((1/2…