Jieliang Hong

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math.PR2026

Boundary behavior and optimal pointwise Hölder exponent of the total local time of $(1 + β)$ -stable super-Brownian motion

Jieliang Hong, Du Yang, Junyan Zhang

Let $L^{x}$ be the total local time of one-dimensional super-Brownian motion with $(1 + β)$ -stable branching mechanism, $0 < β < 1$ . We prove that ${x \in R : L^{x} > 0}$ is almost surel…

math.PR2025

Occupation times for superprocesses in random environments

Ziling Cheng, Jieliang Hong, Dan Yao

Let $X = (X_{t}, t \geq 0)$ be a superprocess in a random environment governed by a Gaussian noise $W = {W (t, x), t \geq 0, x \in R^{d}}$ white in time and colored in space with corre…

math.PR2024

Some quenched and annealed limit theorems of superprocesses in random environments

Zeteng Fan, Jieliang Hong, Jie Xiong

Let $X = (X_{t}, t \geq 0)$ be a superprocess in a random environment described by a Gaussian noise $W = {W (t, x), t \geq 0, x \in R^{d}}$ white in time and colored in space with co…

math.PR2024

Stochastic partial differential equations for superprocesses in random environments

Jieliang Hong, Jie Xiong

Let $X = (X_{t}, t \geq 0)$ be a superprocess in a random environment described by a Gaussian noise $W^{g} = {W^{g} (t, x), t \geq 0, x \in R^{d}}$ white in time and colored in space wit…

Boundary behavior and optimal pointwise Hölder exponent of the total local time of (1+β)-stable super-Brownian motion

Occupation times for superprocesses in random environments

Some quenched and annealed limit theorems of superprocesses in random environments

Stochastic partial differential equations for superprocesses in random environments

Boundary behavior and optimal pointwise Hölder exponent of the total local time of $(1 + β)$ -stable super-Brownian motion