English

Linear progress in the complex of curves

Geometric Topology 2010-01-24 v3

Abstract

We show that a random walk on the mapping class group of an orientable surface of finite type makes linear progress in the relative metric, which is quasi-isometric to the complex of curves.

Keywords

Cite

@article{arxiv.0802.0467,
  title  = {Linear progress in the complex of curves},
  author = {Joseph Maher},
  journal= {arXiv preprint arXiv:0802.0467},
  year   = {2010}
}

Comments

28 pages, 14 figures, final version

R2 v1 2026-06-21T10:09:25.718Z