English

Excited random walk in three dimensions has positive speed

Probability 2007-05-23 v1

Abstract

Excited random walk is a random walk that has a positive drift to the right when it reaches a vertex it hasn't been to before. We show that in three dimensions the walk drifts to the right in non-zero speed.

Keywords

Cite

@article{arxiv.math/0310305,
  title  = {Excited random walk in three dimensions has positive speed},
  author = {Gady Kozma},
  journal= {arXiv preprint arXiv:math/0310305},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:58:49.467Z