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Random walk on comb-type subsets of Z^2

Probability 2019-08-07 v2

Abstract

We study the path behavior of the simple symmetric walk on some comb-type subsets of Z^2 which are obtained from Z^2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

Keywords

Cite

@article{arxiv.1810.11810,
  title  = {Random walk on comb-type subsets of Z^2},
  author = {Endre Csaki and Antonia Foldes},
  journal= {arXiv preprint arXiv:1810.11810},
  year   = {2019}
}

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25 pages