45 citations · 126 across the 19 of their papers we have counts for
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Aperiodic colorings and tilings of Coxeter groups
Alexander Dranishnikov, Viktor Schroeder
We construct a limit aperiodic coloring of hyperbolic groups. Also we construct limit strongly aperiodic strictly balanced tilings of the Davis complex for all Coxeter groups.
Cohomological dimension of Markov compacta
Alexander Dranishnikov
We rephrase Gromov's definition of Markov compacta, introduce a subclass of Markov compacta defined by one building block and study cohomological dimensions of these compacta. We s…
On Asymptotic Assouad-Nagata Dimension
A. N. Dranishnikov, J. Smith
For a large class of metric space X including discrete groups we prove that the asymptotic Assouad-Nagata dimension AN-asdim X of X coincides with the covering dimension $\dim(ν_L…
Asymptotic Dimension of Discrete Groups
A. Dranishnikov, J. Smith
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to genera…