6 citations · 7 across the 8 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Waiting times and stopping probabilities for patterns in Markov chains
Min-Zhi Zhao, Dong Xu, Hui-Zeng Zhang
Suppose that is a finite collection of patterns. Observe a Markov chain until one of the patterns in occurs as a run. This time is denoted by . In this…
On the longest length of arithmetic progressions
MinZhi Zhao, Huizeng Zhang
Suppose that are i.i.d with . Let and be the longest length of arithmetic progressions…
The first returning speed and the last exit speed of a type of Markov chain
Huizeng Zhang, Minzhi zhao, Lei wang
Let be a Markov chain with transition probability , where provided , , and $\sum_{n=0}^\infty a_n=1…
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…