13 citations · 27 across the 5 of their papers we have counts for
5 papers
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…
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…
Affine functions on CAT(kappa) spaces
Alexander Lytschak, Viktor Schroeder
We study CAT(kappa) spaces X admitting affine functions. We show that there exists a canonical isometric embedding X -> Y x H where H is a Hilbert space, such that every affine fun…
Embedding of Coxeter groups in a product of trees
Alexander Dranishnikov, Viktor Schroeder
We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this res…
Products of hyperbolic metric spaces II
Thomas Foertsch, Viktor Schroeder
In arXiv math.MG/0207296 we introduced a product construction for locally compact, complete, geodesic hyperbolic metric spaces. In the present paper we define the hyperbolic produc…