Extremal invariant states

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_66_01/P_66_01.pdf

Ruelle, David

RUELLE

1966

Abstract : A number of results are derived which are pertinent to the description of physical systems by states on C*-algebras invariants under a symmetry group. In particular an integral decomposition relevant to the study of lower symmetry is obtained which is occur in equilibrium statistical mechanics as existence of crystals, ferromagnetic states, etc... A characterization is given of strongly clustering euclidean invariant states, and it is shown that they cannot be decomposed into states of lower symmetry.

INVARIANTS

P/66/01

©IHES

Citer ce document

RUELLE et ROBINSON, “Extremal invariant states,” Archives de l'IHES, consulté le 17 juin 2024, https://omeka.ihes.fr/document/P_66_01.pdf.