An upper bound on the growth of Dirichlet tilings of hyperbolic spaces

DOI10.1142/S1793525317500030zbMath1379.52021arXiv1504.05873MaRDI QIDQ2979664

Itai Benjamini, Tsachik Gelander

Publication date: 26 April 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05873

zbMATH Keywords

latticegrowth\(d\)-dimensional Lobachevsky spaceDirichlet tiling

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• A strongly aperiodic set of tiles in the hyperbolic plane
• Aperiodic tilings of the hyperbolic plane by convex polygons
• A hierarchical strongly aperiodic set of tiles in the hyperbolic plane
• Periodicity, Quasiperiodicity, and Bieberbach's Theorem on Crystallographic Groups
• Growth rates of amenable groups

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