42 citations · 137 across the 9 of their papers we have counts for
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math-ph2010★ 5 cited
Recurrence and Polya number of general one-dimensional random walks
Xiao-Kun Zhang, Jing Wan, Jing-Ju Lu +1
The recurrence properties of random walks can be characterized by Pólya number, i.e., the probability that the walker has returned to the origin at least once. In this paper, we co…
nlin.CG2010★ 15 cited
Discrete-time quantum walks on one-dimensional lattices
Xin-Ping Xu
In this paper, we study discrete-time quantum walks on one-dimensional lattices. We find that the coherent dynamics depends on the initial states and coin parameters. For infinite…