David Hume

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20112026

most citedStability and the Morse boundary

42 citations · 103 across the 15 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.GT2011★ 1 cited

Embedding universal covers of graph manifolds in products of trees

David Hume, Alessandro Sisto

We prove that the universal cover of any graph manifold quasi-isometrically embeds into a product of three trees. In particular we show that the Assouad-Nagata dimension of the uni…

math.MG2011★ 4 cited

Direct embeddings of relatively hyperbolic groups with optimal $ℓ^{p}$ compression exponent

David Hume

We prove that for all $p > 1$ , every relatively hyperbolic group has $ℓ^{p}$ compression exponent equal to the minimum of the exponents of its maximal parabolic subgroups. Moreover,…

Embedding universal covers of graph manifolds in products of trees

Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent

Direct embeddings of relatively hyperbolic groups with optimal $ℓ^{p}$ compression exponent