Dynamical entropy of a non-commutative version of the phase doubling

Tom 43 / 1998

Johan Andries, Mieke De Cock Banach Center Publications 43 (1998), 31-40 DOI: 10.4064/-43-1-31-40


A quantum dynamical system, mimicking the classical phase doubling map $z ↦ z^2$ 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.


  • Johan Andries
  • Mieke De Cock

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