Pentagonal Domain Exchange

Details Pentagonal Domain Exchange Pentagonal Domain Exchange

2011-02-21

arxiv.org/abs/1102.4310v1

Mathematics

Dynamical Systems

Scientific paper

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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