Pure discrete spectrum dynamical system and periodic tiling associated with a substitution
type: Item
instance of: scholarly article
title: Pure discrete spectrum dynamical system and periodic tiling associated with a substitution
zbMATH Open document ID: 1083.37009
author: Anne Siegel
publication date: 2004-12-20T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/116114
review text: This survey studies symbolic dynamical systems associated with a substitution of Pisot type. The goal is to find a computable sufficient condition in order to have a pure discrete spectrum. The author uses a formal and algebraic point of view instead of the usual measurable techniques to investigate the questions of self-similarity and pure discrete spectrum.
reviewed by: L. Vuillon
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 47A35
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 2123570
zbMATH Keywords: substitution
zbMATH Keywords: pure discrete spectrum
zbMATH Keywords: Rauzy fractal
zbMATH Keywords: tilings
MaRDI profile type: Publication
OpenAlex ID: W2329881353
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DOI: 10.5802/AIF.2021
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 2123570