Minzhi Zhao

activity

20092025

most citedOn the distribution of the hitting time for the N-urn Ehrenfest model

6 citations · 7 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2025

Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains

Huixi Wang, Minzhi Zhao

This paper establishes a novel connection between null-recurrent CTMCs and electric networks, offering a systematic classification of null-recurrent behavior based on the first ret…

math.CA2024

Revisiting the identification problem of a function by the ratio of Laplace transforms of powers

Dongdong Hu, Linglong Yuan, Minzhi Zhao

The ratio of Laplace transforms of powers of a function arises in the context of auction theory. The question whether a function is uniquely identified by this ratio has been answe…

math.PR2018★ 6 cited

On the distribution of the hitting time for the N-urn Ehrenfest model

Cheng Xin, Minzhi Zhao, Qiang Yao +1

In this paper, we consider the N-urn Ehrenfest model. By utilizing an auxiliary continuous-time Markov chain, we obtain the explicit formula for the Laplace transform of the hittin…

math.PR2016

Average Entropy of the Ranges for Simple Random Walks on Discrete Groups

Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao

Inspired by Benjamini et al (Ann. Inst. H. Poincaré Probab. Stat. 2010) and Windisch (Electron. J. Probab. 2010), we consider the entropy of the random walk range formed by a simpl…

math.PR2016

Waiting times and stopping probabilities for patterns in Markov chains

Min-Zhi Zhao, Dong Xu, Hui-Zeng Zhang

Suppose that $C$ is a finite collection of patterns. Observe a Markov chain until one of the patterns in $C$ occurs as a run. This time is denoted by $τ$ . In this…

math.PR2012★ 1 cited

On the longest length of arithmetic progressions

MinZhi Zhao, Huizeng Zhang

Suppose that $ξ_{1}^{(n)}, ξ_{2}^{(n)}, ..., ξ_{n}^{(n)}$ are i.i.d with $P (ξ_{i}^{(n)} = 1) = p_{n} = 1 - P (ξ_{i}^{(n)} = 0)$ . Let $U^{(n)}$ and $W^{(n)}$ be the longest length of arithmetic progressions…

math.PR2011

The first returning speed and the last exit speed of a type of Markov chain

Huizeng Zhang, Minzhi zhao, Lei wang

Let ${X_{n}}$ be a Markov chain with transition probability $p_{ij} = a_{j - (i - 1)^{+}}, \forall i, j \geq 0$ , where $a_{j} = 0$ provided $j < 0$ , $a_{0} > 0$ , $a_{0} + a_{1} < 1$ and $\sum_{n=0}^\infty a_n=1…

math.PR2009

The uniqueness of symmetrizing measure and linear diffusions

Xing Fang, Jiangang Ying, Minzhi Zhao

In this short article, we shall study one-dimensional local Dirichlet spaces. One result, which has its independent interest, is to prove that irreducibility implies the uniqueness…