6 papers
Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences
Jia-shan Tang, Feng Wang, Xian-Yuan Wu
In this paper, we study random recursive trees generated by Bernoulli sequences. Starting from a graph with two vertices and one edge, each new vertex is connected to the last vert…
An Explicit Description of Extreme Points of the Set of Couplings with Given Marginals: with Application to Minimum-Entropy Coupling Problems
Ya-Jing Ma, Feng Wang, Xian-Yuan Wu +1
Given probability distributions and with , denote by the set of all couplings of $\bf…
Minimal Joint Entropy and Order-Preserving Couplings
Ya-Jing Ma, Feng Wang, Xian-Yuan Wu +1
This paper focuses on the extreme-value problem for Shannon entropy of the joint distribution with given marginals. It is proved that the minimum-entropy coupling must be of order-…
A note on the asymptotic behavior of the height for a birth-and-death process
Feng Wang, Xian-Yuan Wu, Rui Zhu
This paper focuses on the asymptotic behaviors of the {\it height} for a birth-and-death process which related to a mean-field model \cite{FFS}(or the Anick-Mitra-Sondhi model \cit…
On The Waiting Time for A M/M/1 Queue with Impatience
Feng Wang, Xian-Yuan Wu
This paper focuses on the problem of modeling the correspondence pattern for ordinary people. Suppose that letters arrive at a rate and are answered at a rate . Furthermore,…
Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation
Yong-Hua Mao, Feng Wang, Xian-Yuan Wu
This paper focuses on the asymptotic behaviors of the length of the largest 1-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and th…