95-373 R. Alicki, J. Andries, M. Fannes, P. Tuyls

An Algebraic approach to the Kolmogorov-Sinai entropy. (46K, TeX) Aug 9, 95

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 95-373.tex