5 papers
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…
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…
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 $$ Δ^{α/2}_v + v \cdot \nabla_x…