We proved that any Lorentz transformation of 2-torus $T^2$ 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.
Publié le : 2004-04-27
Classification:
Anosov automorphism,
Lorentz map,
3.7e+31,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00001514,
author = {Aranson, Samuil and Zhuzhoma, Evgeny},
title = {On arithmetical and dynamical properties of Lorentz maps of the torus},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00001514}
}
Aranson, Samuil; Zhuzhoma, Evgeny. On arithmetical and dynamical properties of Lorentz maps of the torus. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001514/