English

A random walk proof of the Erdos-Taylor conjecture

Probability 2007-05-23 v1

Abstract

For the simple random walk in Z^2 we study those points which are visited an unusually large number of times, and provide a new proof of the Erdos-Taylor conjecture describing the number of visits to the most visited point.

Keywords

Cite

@article{arxiv.math/0503108,
  title  = {A random walk proof of the Erdos-Taylor conjecture},
  author = {Jay Rosen},
  journal= {arXiv preprint arXiv:math/0503108},
  year   = {2007}
}