On the boundary of self-affine tilings generated by Pisot numbers
type: Item
instance of: scholarly article
title: On the boundary of self-affine tilings generated by Pisot numbers
zbMATH Open document ID: 1032.11033
author: Shigeki Akiyama
published in: Journal of the Mathematical Society of Japan
publication date: 2003-06-30T00:00:00Z
review text: The author is interested in arithmetic and tiling properties of Pisot numbers. He obtains in particular nice results for the tiles of tilings associated with Pisot numbers: provided some weak condition is satisfied, the Lebesgue measure of the boundary of these tiles is equal to zero.
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11R06
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37B50
Mathematics Subject Classification ID: 52C23
zbMATH DE Number: 1943266
zbMATH Keywords: first numbers
zbMATH Keywords: tilings
zbMATH Keywords: zero Lebesgue measure
zbMATH Keywords: fractals
reviewed by: Jean-Paul Allouche
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05420283
OpenAlex ID: W2172152577
DOI: 10.2969/JMSJ/05420283
description: scientific article; zbMATH DE number 1943266