Groups, Geometry, and Dynamics

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Volume 1, Issue 3, 2007, pp. 311–328
DOI: 10.4171/GGD/15

Published online: 2007-09-30

Aperiodic colorings and tilings of Coxeter groups

Alexander Dranishnikov[1] and Viktor Schroeder[2]

(1) University of Florida, Gainesville, United States
(2) University of Z├╝rich, Switzerland

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.

Keywords: Aperiodic coloring, aperiodic tiling, Coxeter group, Davis complex

Dranishnikov Alexander, Schroeder Viktor: Aperiodic colorings and tilings of Coxeter groups. Groups Geom. Dyn. 1 (2007), 311-328. doi: 10.4171/GGD/15