13 citations · 70 across the 30 of their papers we have counts for
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math.GR2005★ 6 cited
A product of trees as universal space for hyperbolic groups
Sergei Buyalo, Viktor Schroeder
We show that every Gromov hyperbolic group $\Ga$ admits a quasi-isometric embedding into the product of binary trees, where $n=\dim\di\Ga$ is the topological dimension of t…
math.DS2005
Connecting geodesics and security of configurations in compact locally symmetric spaces
Eugene Gutkin, Viktor Schroeder
A pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every…
math.GR2005★ 13 cited
Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Alexander Dranishnikov, Viktor Schroeder
We prove that a finitely generated, right-angled, hyperbolic Coxeter group can be quasiisometrically embedded into the product of n binary trees, where n is the chromatic number of…