Fast repetitivity in non-rectifiable Delone sets

Journal of Mathematical Analysis and Applications 2026 Open access

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Authors: Ashwin Bhat, Michael Dymond
DOI: 10.1016/j.jmaa.2026.130962
Cited by: 0

Abstract

We present a construction of non-rectifiable, repetitive Delone sets in every Euclidean space R d with d ≥ 2 . We further obtain a close to optimal repetitivity function for such sets. The proof is based on the process of ‘encoding’ a non-realisable density in a Delone set, due to Burago and Kleiner.

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Publication details

Journal / source
Journal of Mathematical Analysis and Applications
Volume
565
Issue
2
Pages
130962–130962
Publication date
17 July 2026
Language
EN