A quantum dynamical system, mimicking the classical phase doubling map on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p31bwm,
author = {Andries, Johan and De Cock, Mieke},
title = {Dynamical entropy of a non-commutative version of the phase doubling},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {31-40},
zbl = {0947.46047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p31bwm}
}
Andries, Johan; De Cock, Mieke. Dynamical entropy of a non-commutative version of the phase doubling. Banach Center Publications, Tome 43 (1998) pp. 31-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p31bwm/
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