Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework
Fabio Benatti, Valerio Cappellini
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.
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