We discuss certain analogies between quantization and discretization of
classical systems on manifolds. In particular, we will apply the quantum
dynamical entropy of Alicki and Fannes to numerically study the footprints of
chaos in discretized versions of hyperbolic maps on the torus.
@article{0308033,
author = {Benatti, F. and Cappellini, V. and Zertuche, F.},
title = {Quantum Dynamical Entropies in Discrete Classical Chaos},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0308033}
}
Benatti, F.; Cappellini, V.; Zertuche, F. Quantum Dynamical Entropies in Discrete Classical Chaos. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308033/