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The range of once-reinforced random walk in one dimension

Probability 2019-03-14 v1

Abstract

We study once-reinforced random walk (ORRW) on Z\mathbb Z. For this model, we derive limit results on all moments of its range using Tauberian theory.

Keywords

Cite

@article{arxiv.1903.05234,
  title  = {The range of once-reinforced random walk in one dimension},
  author = {Peter Pfaffelhuber and Jakob Stiefel},
  journal= {arXiv preprint arXiv:1903.05234},
  year   = {2019}
}

Comments

14 pages, 1 figure