\(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)
type: Item
instance of: scholarly article
title: \(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)
zbMATH Open document ID: 1177.37012
author: Fumihiko Enomoto
published in: Tokyo Journal of Mathematics
publication date: 2009-04-21T00:00:00Z
Mathematics Subject Classification ID: 37A15
Mathematics Subject Classification ID: 37P35
zbMATH DE Number: 5545419
zbMATH Keywords: Markov partition
zbMATH Keywords: group automorphism
zbMATH Keywords: AH-substitution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1233844059
OpenAlex ID: W2049482206
cites work: Similarity of automorphisms of the torus
cites work: Self affine tiling and Pisot numeration system
cites work: Q4510760
cites work: Q4429267
cites work: Pisot substitutions and Rauzy fractals
cites work: Algebraic numbers, free group automorphisms and substitutions on the plane
cites work: Generating special Markov partitions for hyperbolic toral automorphisms using fractals
cites work: Geometric representation of substitutions of Pisot type
cites work: Q5387653
cites work: Atomic surfaces, tilings and coincidences. II: Reducible case
cites work: Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces
cites work: A construction of transversal flows for maximal Markov automorphisms
cites work: On simultaneous approximation to \((\alpha,\alpha^2)\) with \(\alpha^3+k\alpha-1=0\).
cites work: Purely periodic 𝛽-expansions with Pisot unit base
cites work: Atomic surfaces, tilings and coincidence. I: Irreducible case
cites work: Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
cites work: Q4037009
cites work: An Introduction to Symbolic Dynamics and Coding
cites work: Numeration systems and Markov partitions from self similar tilings
cites work: Substitution dynamical systems - spectral analysis
cites work: Higher dimensional extensions of substitutions and their dual maps
cites work: Construction of Markov partitions
DOI: 10.3836/TJM/1233844059
description: scientific article; zbMATH DE number 5545419