On arithmetical and dynamical properties of Lorentz maps of the torus
Dynamical Systems
2007-05-23 v1
Abstract
We proved that any Lorentz transformation of 2-torus is Anosov automorphism. One completely describes admissible parameters of Lorentz transformations and their arithmetical properties. One proved that an admissible speed light parameter has a countable spectra accumulating to this parameter.
Keywords
Cite
@article{arxiv.math/0404464,
title = {On arithmetical and dynamical properties of Lorentz maps of the torus},
author = {S. Aranson and E. Zhuzhoma},
journal= {arXiv preprint arXiv:math/0404464},
year = {2007}
}