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  • Mots-clés: ABEL

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X012/P_67_X012.pdf
Abstract : It is shown that for an infinite lattice system, thermodynamic equilibrium is the solution of a variational problem involving a mean entropy of states introduced earlier [2]. As an application, a version of the Gibbs phase rule is proved.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X015/P_67_X015.pdf
Abstract : Given a C*-algebra O with a group of automorphisms, we define and study almost periodic states on O. A natural decomposition of such states is introduced and discussed.

*) These notes are a result of discussions between S. Dpolicher,…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1990-1999/P_90_83/P_90_83.pdf
Conference given at the XIIIth International Colloquium on Group Theoretical Methods in Physics. Moscow, june 4-9, 1990

Abstract : We present S. Lie's work on the symmetry of ODE (ordinary differential equations) : action of Diff 2(x,y), the Lie…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_77_156/P_77_156.pdf
Résumé. - Les défauts de symétrie d’un milieu ordonné qui sont topologiquement stables, sont classés par des groupes d’homotopie. A titre d’exemple, nous établissons une classification complète de ces défauts de symétrie…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_89_73/P_89_73.pdf
Abstract : When the vector space ? carries a representation p of the group G, if the decomposition of the symmetrized tensor product representation contains p, there exists a symmetrical non-associative algebra on ? with G a group of automorphisms.…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1990-1999/P_92_16/P_92_16.pdf
Exapnded version of a lecture fiven at Naples, on October 25, 1991 at a Colloquium in memory of Léon Vanhove

Abstract : This paper studies the number of extrema (and their positions) of a countinuous Morse function on the Brillouin zone, when it…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X029/P_70_X029.pdf
Abstract : Let E be the compact set of states on a C?-algebra U with identity. We discuss the representations of a state ? as barycenter of a probability measure ? on E. Examples of such representations are the central decomposition and the ergodic…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_66_03/P_66_03.pdf
Abstract : Let ?? be a B* algebra with a group G of automorphisms and K be the set of G?invariant states on ??. We discuss conditions under which a G?invariant state has a unique integral representation in terms of extremal points of K, i.e.,…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_66_04/P_66_04.pdf
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…

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