Dynamical entropy of a non-commutative version of the phase doubling
Johan Andries, Mieke De Cock (1998)
Banach Center Publications
Similarity:
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.