101 citations · 240 across the 21 of their papers we have counts for
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math.GT2008★ 43 cited
Random Heegaard splittings
Joseph Maher
A random Heegaard splitting is a 3-manifold obtained by using a random walk of length n on the mapping class group as the gluing map between two handlebodies. We show that the join…
math.GT2008
Linear progress in the complex of curves
Joseph Maher
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…