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19982023
most citedDirichlet Heat Kernel Estimates for Rotationally Symmetric Lévy processes

68 citations · 441 across the 101 of their papers we have counts for

collaborators

102 papers

math.PR2023★ 1 cited

Some New Results on Gaussian Product Inequalities

Qian-Qian Zhou, Han Zhao, Ze-Chun Hu +1

The long-standing Gaussian product inequality (GPI) conjecture states that, for any centered -valued Gaussian random vector and any positive reals…

math.PR2023

Asymptotic expansion for branching killed Brownian motion with drift

Haojie Hou, Yan-Xia Ren, Renming Song

Let be the point process formed by the positions of all particles alive at time in a branching Brownian motion with drift and killed upon reaching 0. We stud…

math.PR2023

Extremal process for irreducible multitype branching Brownian motion

Haojie Hou, Yan-Xia Ren, Renming Song

We first study the convergence of solutions of a system of F-KPP equations related to irreducible multitype branching Brownian motions with Heaviside-type initial conditions to tra…

math.PR2022

Lower deviation for the supremum of the support of super-Brownian motion

Yan-Xia Ren, Renming Song, Rui Zhang

We study the asymptotic behavior of the supremum of the support of a supercritical super-Brownian motion. In our recent paper (Stoch. Proc. Appl. 137 (2021), 1-34), we showed…

math.PR2022

Heat kernel estimates for Dirichlet forms degenerate at the boundary

Soobin Cho, Panki Kim, Renming Song +1

The goal of this paper is to establish sharp two-sided estimates on the heat kernels of two types of purely discontinuous symmetric Markov processes in the upper half-space of $\ma…

math.PR2022

Weak convergence of the extremes of branching Lévy processes with regularly varying tails

Yan-Xia Ren, Renming Song, Rui Zhang

In this paper, we study the weak convergence of the extremes of supercritical branching Lévy processes whose spatial motions are Lévy processes with regu…