Mean entropy of States in classical statistical mechanics

Collection : Ruelle, David

Auteur(e.s) : RUELLE

Date : 1966

Description : Abstract : The equilibrium states for an infinite system of classical mechanics may be represented by states over Abelian C* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this mean entropy are investigated : linearity, upper semi-continuity, integral representations. In the lattice case, it is found that our mean entropy coincides with the KOLMOGOROV-SINAI invariant of ergodic theory.

Sujet(s) : ENTROPIE

Source : P/66/04

©IHES