14 citations · 32 across the 11 of their papers we have counts for
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math.GR2011
Fine asymptotic geometry in the Heisenberg group
Moon Duchin, Christopher Mooney
For every finite generating set on the integer Heisenberg group H(Z), Pansu showed that the word metric has the large-scale structure of a Carnot-Caratheodory Finsler metric on the…
math.GR2011★ 9 cited
Statistical hyperbolicity in groups
Moon Duchin, Samuel Lelièvre, Christopher Mooney
In this paper, we introduce a geometric statistic called the "sprawl" of a group with respect to a generating set, based on the average distance in the word metric between pairs of…