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math.PR2019
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…
math.PR2017★ 1 cited
On The Time Constant for Last Passage Percolation on Complete Graph
Xian-Yuan Wu, Rui Zhu
This paper focuses on the time constant for last passage percolation on complete graph. Let be the complete graph on vertex set , and i.i.d. s…
math.PR2017
On The Modified Newman-Watts Small World and Its Random Walk
Xian-Yuan Wu, Rui Zhu
It is well known that adding "long edges (shortcuts)" to a regularly constructed graph will make the resulted model a small world. Recently, \cite{W} indicated that, among all long…