Hua-Ming Wang

activity

20242026

collaborators

3 papers

math.PR2026

Biased Random Walk on $Z_{+}$ with Traps of Linearly Increasing Depth

Hua-Ming Wang, Ning Wang

We study a $I^»$ -biased random walk $(X_{n})_{n \geq 0}$ on the deterministic infinite rooted tree $T = {(i, j) : i \geq 0, 0 \leq j \leq i}$ , whose backbone is ${(i, 0) : i \geq 0}$ and,…

math.PR2025

Beyond Poisson Approximation: Sums of Markovian Bernoulli Variables with Applications to Brownian Motions and Branching Processes

Hua-Ming Wang, Shuxiong Zhang

Let ${I^\cdot_{i}}_{i \geq 1}$ be a sequence of dependent Bernoulli random variables. While the Poisson approximation for the distribution of $\sum_{i = 1}^{n} I^\cdot_{i}$ has been extensively studi…

math.PR2024

Local time, upcrossing time and weak cutpoints of a spatially inhomogeneous random walk on the line

Hua-Ming Wang

In this paper, we study a transient spatially inhomogeneous random walk with asymptotically zero drifts on the lattice of the positive half line. We give criteria for the finitenes…

Biased Random Walk on Z+​ with Traps of Linearly Increasing Depth

Beyond Poisson Approximation: Sums of Markovian Bernoulli Variables with Applications to Brownian Motions and Branching Processes

Local time, upcrossing time and weak cutpoints of a spatially inhomogeneous random walk on the line

Biased Random Walk on $Z_{+}$ with Traps of Linearly Increasing Depth