The finiteness property for shift radix systems with general parameters

zbMath1467.11010arXiv1711.09596MaRDI QIDQ5244178

Mario Weitzer, Jörg M. Thuswaldner, Attila Pethoe

Publication date: 20 November 2019

Full work available at URL: https://arxiv.org/abs/1711.09596

zbMATH Keywords

periodic orbitstwo-dimensional expanding shift radix systems

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Cites Work

• Finite and periodic orbits of shift radix systems
• Remarks on a conjecture on certain integer sequences
• Periodicity of certain piecewise affine planar maps
• Self-affine tiles in \(\mathbb{R}^n\)
• Generalized radix representations and dynamical systems. I
• Characterization algorithms for shift radix systems with finiteness property
• On Nearly Linear Recurrence Sequences
• Discretized rotation has infinitely many periodic orbits
• Shift Radix Systems - A Survey
• ON A FAMILY OF THREE TERM NONLINEAR INTEGER RECURRENCES
• Generalized radix representations and dynamical systems II

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