- 95-373 R. Alicki, J. Andries, M. Fannes, P. Tuyls
- An Algebraic approach to the Kolmogorov-Sinai entropy.
Aug 9, 95
(auto. generated ps),
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Abstract. We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical
systems in terms of an algebraic formalism. This is the starting point for
defining the entropy for general non-commutative systems. Hereby typical
quantum tools are introduced in the statistical description of classical
dynamical systems. We illustrate the power of this techniques by providing
a simple, self-contained proof of the entropy formula for general
automorphisms of $n$-dimensional tori.