Linear progress in the complex of curves

Maher, Joseph

doi:10.1090/S0002-9947-10-04903-2

Linear progress in the complex of curves
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Trans. Amer. Math. Soc. 362 (2010), 2963-2991 Request permission

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.

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