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

Probability 2019-05-21 v1 Combinatorics

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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Cite

@article{arxiv.1905.07863,
  title  = {Remarks on the recurrence and transience of non-backtracking random walks},
  author = {Paul Jung and Greg Markowsky},
  journal= {arXiv preprint arXiv:1905.07863},
  year   = {2019}
}

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6 pages