Ruelle: The states of classical systems


„For classical systems the states are probability measures on an appropriate space of infinite configurations; such states can also be viewed as linear functionals on an abelian algebra (an algebra of continuous functions in the case of Radon measures).“ (p. 2) #Ruelle #system #states

Ruelle, David, Thermodynamic Formalism. The Mathematical Structures of Equilibrium. Statistical Mechanics. Cambridge, UK: Cambridge University Press 22004.