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arXiv · 1102.4310

Pentagonal Domain Exchange

Shigeki Akiyama·Edmund Harriss
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Abstract

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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Shigeki Akiyama, Edmund Harriss. 2011-02-21. Pentagonal Domain Exchange. https://arxiv.org/abs/1102.4310

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