Dan Yao

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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

Quasi-stationary distributions for subcritical branching Markov chains

Wenming Hong, Dan Yao

Consider a subcritical branching Markov chain. Let $Z_{n}$ denote the counting measure of particles of generation $n$ . Under some conditions, we give a probabilistic proof for the ex…