Divergence of separated nets with respect to displacement equivalence

DOI10.1007/s10711-023-00862-3arXiv2102.13046OpenAlexW3131190951MaRDI QIDQ6183201

Vojtěch Kaluža, Michael Dymond

Publication date: 26 January 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13046

zbMATH Keywords

densityseparated netbilipschitz equivalence\(\omega\)-regularitydisplacement equivalence

Mathematics Subject Classification ID

Metric geometry (51F99) Discrete geometry (52C99) Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Euclidean geometries (general) and generalizations (51M05)

Cites Work

• Unnamed Item
• Some examples of repetitive, nonrectifiable Delone sets
• Mapping \(n\) grid points onto a square forces an arbitrarily large Lipschitz constant
• The family of bi-Lipschitz classes of Delone sets in Euclidean space has the cardinality of the continuum
• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lipschitz maps and nets in Euclidean space
• Bounded displacement non-equivalence in substitution tilings
• Highly irregular separated nets
• A dichotomy for bounded displacement equivalence of Delone sets
• FACTORIZATION OF EVEN GRAPHS

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