Pentagonal Domain Exchange
classification
🧮 math.DS
math.NT
keywords
furtherpentagonalaperiodicappearsappliedconstantcrucialdescription
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Self-inducing structure of pentagonal piecewise isometry is applied to show detailed description of periodic and aperiodic orbits, and further dynamical properties. A Pisot number appears as a scaling constant and plays a crucial role in the proof. Further generalization is discussed in the last section.
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