A general framework for tilings, Delone sets, functions, and measures and their interrelation (Q2316793)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general framework for tilings, Delone sets, functions, and measures and their interrelation |
scientific article |
Statements
A general framework for tilings, Delone sets, functions, and measures and their interrelation (English)
0 references
7 August 2019
0 references
In the paper under review, the author generalises the local derivability and mutual local derivability (MLD) for tilings and Delone sets to general objects including tilings, Delone sets, functions and measures. The author also deals with pattern-equivariant functions as an application. More precisely, the author proves that the space of pattern-equivariant functions remembers the original object up to MLD.
0 references
tiling
0 references
Delone set
0 references
almost periodic function
0 references
almost periodic measure
0 references
0 references