AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY
Robert Alicki, Johan Andries, M. Fannes, Pim Tuyls · Reviews in Mathematical Physics · 1996
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 these techniques by providing a simple, self-contained proof of the entropy formula for general automorphisms of n-dimensional tori.