AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY-Reference-Cited by-同舟云学术

AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY

Published:1996-02 Issue:02 Volume:08 Page:167-184
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

ALICKI R.¹,ANDRIES J.²,FANNES M.²,TUYLS P.²

Affiliation:

1. Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wita Stwosza 57, PL-80–952 Gdańsk, Poland

2. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Belgium

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 these techniques by providing a simple, self-contained proof of the entropy formula for general automorphisms of n-dimensional tori.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X96000068

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