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arXiv math/0404464math.DS

On arithmetical and dynamical properties of Lorentz maps of the torus

S. Aranson, E. Zhuzhoma

英文摘要:

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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