Renormalisation for inflation tilings. II: Connections to number theory
type: Item
instance of: scholarly article
title: Renormalisation for inflation tilings. II: Connections to number theory
zbMATH Open document ID: 1487.52026
DOI: 10.1007/978-3-030-62497-2_52
author: Neil Mañibo
publication date: 2021-12-10T00:00:00Z
review text: The paper is a two-pages expository (without proofs) of some results previously obtained by the author with Baake, Coons, Gaehler, and Grimm about some connections of the Lyapunov exponent of the matrix cocycles induced by Fourier matrices of inflation rules for aperiodic tilings and Mahler measures of certain polynomials. For the entire collection see [Zbl 1459.37002].
Mathematics Subject Classification ID: 52C23
Mathematics Subject Classification ID: 37B52
Mathematics Subject Classification ID: 11J82
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 11R09
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 11R06
zbMATH DE Number: 7442395
zbMATH Keywords: substitutions
zbMATH Keywords: mathematical diffraction
zbMATH Keywords: Fourier matrix
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Mahler measure
reviewed by: Anton Shutov
MaRDI profile type: Publication
full work available at URL: 978-3-030-62497-2 52
OpenAlex ID: W3133351745
cites work: Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
cites work: Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction
cites work: Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
cites work: Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions
cites work: Spectral analysis of a family of binary inflation rules
cites work: Lyapunov exponents for binary substitutions of constant length
description: scientific article; zbMATH DE number 7442395