200 citations · 646 across the 25 of their papers we have counts for
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math.GT2008★ 32 cited
Median structures on asymptotic cones and homomorphisms into mapping class groups
J. Behrstock, C. Drutu, M. Sapir
The main goal of this paper is a detailed study of asymptotic cones of the mapping class groups. In particular, we prove that every asymptotic cone of a mapping class group has a b…
math.GT2008★ 18 cited
Centroids and the Rapid Decay property in mapping class groups
Jason A. Behrstock, Yair N. Minsky
We study a notion of a Lipschitz, permutation-invariant "centroid" for triples of points in mapping class groups MCG(S), which satisfies a certain polynomial growth bound. A conseq…
math.GT2008
Geometry and rigidity of mapping class groups
Jason Behrstock, Bruce Kleiner, Yair Minsky +1
We study the large scale geometry of mapping class groups MCG(S), using hyperbolicity properties of curve complexes. We show that any self quasi-isometry of MCG(S) (outside a few s…