3 papers
math.PR2026
Universal Exponent-Two Degree Laws in Range-Renewal Networks
Jiansheng Xie, Yechi Zhou
Let an infinite sequence of independent and identically distributed random variables over a countable alphabet generate a graph by joining consecutive symbols and suppressing repea…
math.PR2022
CLT, MDP and LDP for Range-Renewals of I.I.D.Samplings from an Infinite Discrete Distribution
Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao
Let be the number of distinct values of the simple samples from an infinite discrete distribution. In 1960 Bahadure proved $\displaystyle \lim_{n\to \infty} \frac{R_n}{\E…
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…