Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework

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We study the presence of a logarithmic time scale in discrete approximations of Sawtooth Maps on the 2--torus. The techniques used are suggested by quantum mechanical similarities, and are based on a particular class of states on the torus, that fulfill dynamical localization properties typical of quantum Coherent States.
LaTeX, 45 pages, 5 figures. Small changes in the content, references added. To appear in J. Math. Phys

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Mathematical Physics, Quantum Physics, 37D20 (Primary); 81Q20, 81R30, 46L99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/57787

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0407075
 http://arxiv.org/abs/math-ph/0407075
 J. Math. Phys. 46(6), 062702 (2005)
 doi:10.1063/1.1917283

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arXiv