Pentagonal Domain Exchange
Dynamical Systems
2011-02-22 v1 Number Theory
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.
Cite
@article{arxiv.1102.4310,
title = {Pentagonal Domain Exchange},
author = {Shigeki Akiyama and Edmund Harriss},
journal= {arXiv preprint arXiv:1102.4310},
year = {2011}
}