Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework
arXiv:math-ph/0407075 · doi:10.1063/1.1917283
Abstract
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