On arithmetical and dynamical properties of Lorentz maps of the torus
S. Aranson, E. Zhuzhoma
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.
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