\(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)

DOI10.3836/TJM/1233844059zbMath1177.37012OpenAlexW2049482206MaRDI QIDQ1012440

Fumihiko Enomoto

Publication date: 21 April 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1233844059

zbMATH Keywords

Markov partitiongroup automorphismAH-substitution

Mathematics Subject Classification ID

General groups of measure-preserving transformations and dynamical systems (37A15) Arithmetic properties of periodic points (37P35)

Related Items (1)

On the structure of (−β)-integers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces
• Substitution dynamical systems - spectral analysis
• A construction of transversal flows for maximal Markov automorphisms
• Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
• On simultaneous approximation to \((\alpha,\alpha^2)\) with \(\alpha^3+k\alpha-1=0\).
• Atomic surfaces, tilings and coincidences. II: Reducible case
• Atomic surfaces, tilings and coincidence. I: Irreducible case
• Construction of Markov partitions
• Geometric representation of substitutions of Pisot type
• Algebraic numbers, free group automorphisms and substitutions on the plane
• Purely periodic 𝛽-expansions with Pisot unit base
• Generating special Markov partitions for hyperbolic toral automorphisms using fractals
• Numeration systems and Markov partitions from self similar tilings
• An Introduction to Symbolic Dynamics and Coding
• Similarity of automorphisms of the torus
• Higher dimensional extensions of substitutions and their dual maps
• Pisot substitutions and Rauzy fractals

This page was built for publication: \(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)