DCDS
Pentagonal domain exchange
Shigeki Akiyama Edmund Harriss
Discrete & Continuous Dynamical Systems - A 2013, 33(10): 4375-4400 doi: 10.3934/dcds.2013.33.4375
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.
keywords: numeration systems. pisot number piecewise isometry symbolic dynamics Pentagon

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