Remarks on the recurrence and transience of non-backtracking random walks

IF 0.4 Q4 MATHEMATICS, APPLIED Journal of Combinatorics Pub Date : 2019-05-20 DOI:10.4310/joc.2020.v11.n3.a7
Paul Jung, Greg Markowsky
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Abstract

A short proof of the equivalence of the recurrence of non-backtracking random walk and that of simple random walk on regular infinite graphs is given. It is then shown how this proof can be extended in certain cases where the graph in question is not regular.
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非回溯随机漫步的递归性和暂态性
给出了正则无穷图上非回溯随机游走递归性与简单随机游走递归性等价的简短证明。然后说明了在所讨论的图不是正则图的某些情况下,这个证明是如何推广的。
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来源期刊
Journal of Combinatorics
Journal of Combinatorics MATHEMATICS, APPLIED-
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发文量
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