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math.GT2016★ 7 cited
Hausdorff dimension of boundaries of relatively hyperbolic groups
Leonid Potyagailo, Wen-yuan Yang
In this paper, we study the Hausdorff dimension of the Floyd and Bowditch boundaries of a relatively hyperbolic group, and show that for the Floyd metric and shortcut metrics respe…
math.GT2008
On the Complexity and Volume of Hyperbolic 3-Manifolds
Thomas Delzant, Leonid Potyagailo
We compare the volume of a hyperbolic 3-manifold of finite volume and the complexity of its fundamental group.
math.GT1998
The boundary of the deformation space of the fundamental group of some hyperbolic 3-manifolds fibering over the circle
Leonid Potyagailo
By using Thurston's bending construction we obtain a sequence of faithful discrete representations ρ_n of the fundamental group of a closed hyperbolic 3-manifold fibering over the…