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math.PR2019
Large and moderate deviations for record numbers in some non-nearest neighbor random walks
Yuqiang Li, Qiang Yao
The deviation principles of record numbers in random walk models have not been completely investigated, especially for the non-nearest neighbor cases. In this paper, we derive the…
math.CO2019
The Construction of Two Kinds of Bijections in Simple Random Walk Paths
Sai Song, Qiang Yao
It is known that for the 2n-step symmetric simple random walk on Z, two events have the same probability if and only if their sets of paths have the same cardinality. In this artic…