4 papers
Favorite sites of one-dimensional transient random walk
Zechun Hu, Renming Song, Guangshuo Zhou +1
In this paper, we study favorite sites of one-dimensional transient random walk on beyond the simple case. Denote by the set of favorite sites at time…
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.
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…