On arithmetical and dynamical properties of Lorentz maps of the torus

Details On arithmetical and dynamical properties of Lorentz maps of the torus On arithmetical and dynamical properties of Lorentz maps of the torus

2004-04-26

arxiv.org/abs/math/0404464v1

Mathematics

Dynamical Systems

Scientific paper

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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