6 papers · 1 filter
The range of once-reinforced random walk on the half-line
Zechun Hu, Ting Ma, Renming Song +1
In this paper, we consider a once-reinforced random walk on the half-line, and give the limiting behaviors of all the moments of its range.
The infimum values of three probability functions for the Laplace distribution and the student's distribution
Rong-Sheng Hu, Ze-Chun Hu, Zhen Huang +1
Let be a family of random variables satisfying some distribution with a parameter , be the expectation, and be the variance. In this paper, we stud…
Limit behavior of linearly edge-reinforced random walks on the half-line
Zechun Hu, Renming Song, Li Wang
Motivated by the article [M. Takei, Electron. J. Probab. 26 (2021), article no. 104], we study the limit behavior of linearly edge-reinforced random walks on the half-line $\mathbb…
Favorite sites of one-dimensional asymmetric simple random walk
Guangshuo Zhou, Zechun Hu, Renming Song
In this paper, we study favorite sites of one-dimensional asymmetric simple random walks. We show that almost surely, for any fixed integer , `` favorite sites" occurs…
On the anti-concentration functions of some familiar families of distributions
Ze-Chun Hu, Renming Song, Yuan Tan
Let be a family of random variables following a certain type of distributions with finite expectation and finite variance , where is…
The asymptotic behavior of rarely visited edges of the simple random walk
Ze-Chun Hu, Xue Peng, Renming Song +1
In this paper, we study the asymptotic behavior of the number of rarely visited edges (i.e., edges that visited only once) of a simple symmetric random walk on . Let $α…