Contractivity of three-dimensional shift radix systems with finiteness property

DOI10.1080/10236198.2010.547494zbMath1303.11019OpenAlexW2136827348MaRDI QIDQ2895666

Horst Brunotte, Peter Kirschenhofer, Jörg M. Thuswaldner

Publication date: 4 July 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2010.547494

zbMATH Keywords

periodic orbitdiscrete dynamical systemcontractive matrixshift radix systemfinite orbit

Mathematics Subject Classification ID

Fractals (28A80) Radix representation; digital problems (11A63) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

Characterization of rational matrices that admit finite digit representations ⋮ Beta-expansions of -adic numbers

Cites Work

• Fractal tiles associated with shift radix systems
• Finite and periodic orbits of shift radix systems
• Generalized radix representations and dynamical systems. I
• Finite beta-expansions
• Symmetric CNS Trinomials
• On the Boundary of the Set of the Closure of Contractive Polynomials
• A canonical parameter space for linear systems design
• Three-dimensional symmetric shift radix systems
• Generalized radix representations and dynamical systems II