A simple condition for bounded displacement

DOI10.1016/j.jmaa.2013.12.050zbMath1308.52019arXiv1111.1690OpenAlexW2043984683MaRDI QIDQ2338733

Yaar Solomon

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/1111.1690

zbMATH Keywords

substitution tilingseparated nets

Mathematics Subject Classification ID

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

Related Items

Discrepancy and rectifiability of almost linearly repetitive Delone sets ⋮ Continuously many bounded displacement non-equivalences in substitution tiling spaces ⋮ Equivalence relations on separated nets arising from linear toral flows ⋮ A dichotomy for bounded displacement equivalence of Delone sets ⋮ The Distribution of Path Lengths On Directed Weighted Graphs ⋮ Limit theorems for self-similar tilings ⋮ Highly irregular separated nets ⋮ Uniform distribution of Kakutani partitions generated by substitution schemes ⋮ Self affine Delone sets and deviation phenomena ⋮ Bounded displacement non-equivalence in substitution tilings ⋮ Pattern equivariant cohomology and theorems of Kesten and Oren ⋮ Random substitution tilings and deviation phenomena ⋮ Number of bounded distance equivalence classes in hulls of repetitive Delone sets

Cites Work

• Substitution tilings and separated nets with similarities to the integer lattice
• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lipschitz maps and nets in Euclidean space
• Linearly repetitive Delone sets are rectifiable
• Uniformly Spread Discrete Sets in R ^d
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