5 papers
On the subcritical self-catalytic branching Brownian motions
Haojie Hou, Zhenyao Sun
The self-catalytic branching Brownian motions (SBBM) are extensions of the classical one-dimensional branching Brownian motions by incorporating pairwise branchings catalyzed by th…
Susceptible-Infected Epidemics on Evolving Graphs at Critical Infection Rate
Wenze Chen, Haojie Hou, Ruibo Ma +1
Consider an SI process on a graph where each S--I connection becomes I--I at rate . Here S and I stand for ``susceptible'' and ``infected'' respectively. The evoSI model is…
Minimum and extremal process for a branching random walk outside the boundary case
Xinxin Chen, Haojie Hou
This work extends the studies on the minimum and extremal process of a supercritical branching random walk outside the boundary case which cannot be reduced to the boundary case. W…
Law of the iterated logarithm for supercritical non-local spatial branching processes
Haojie Hou, Ting Yang
Suppose that is either a general supercritical non-local branching Markov process, or a general supercritical non-local superprocess, on a Luzin space. Here, b…
Heat kernel estimates for nonlocal kinetic operators
Haojie Hou, Xicheng Zhang
In this paper, we employ probabilistic techniques to derive sharp, explicit two-sided estimates for the heat kernel of the nonlocal kinetic operator $$ Î^{α/2}_v + v \cdot \nabla…