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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_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…

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_02/P_66_02.pdf
Abstract : a state of an infinite system in classical statistical mechanics is usually described by its correlation functions. We discuss here other description in particular as 1) a state on a B*-algebras, 2) a collection of density distributions,…

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

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_65_03/P_65_03.pdf
Abstract : It is shown that a quantal or classical system of N particles of distinct species ?,? = 1, 2, … ? interacting through pair potentials ???(r) are stable, in the sense that the total energy is always bounded below by ?NB, provided ???(r)…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_44/P_02_44.pdf
Abstract : Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested some time ago. Our results agree with all low-instanton calculations available in the literature. We present a…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_20/P_02_20.pdf
Abstract : We study realization of the target space diffeomorphisms in the type C topological string. We found that the charges, which generate transformations of the boundary observables, form an algebra, which differs from that of bulk charges by…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_19/P_02_19.pdf
Abstract : We find a new gauge in which U(1) noncommutative instantons are explicitly non-singular on noncommutative R^4. We also present a pedagogical introduction to the noncommutative gauge theories.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_14/P_02_14.pdf
Abstract :The background independent formulation of the gauge theories on D-branes in flat space-time is considered, some examples of the solutions of their equations of motion are presented, the solutions of Dirac equation in these backgrounds are…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_13/P_02_13.pdf
Abstract : We analyze the spectrum of the bosonic and superstring on the orbifold of the space-time by a boost, leading to the cosmological singularity. We show that the modular invariance leads to the spectrum where the twisted sector tachyon,…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_01_27/P_01_27.pdf
Abstract : We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and…

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https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_67_30/P_67_30.pdf
Ce manuscrit est un anti-résumé de la communication qui sera faite par l'auteur à la rencontre des 17 et 18 novembre 1967, du groupe d'étude du problème à 2 corps

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_68_31/P_68_31.pdf
Introduction :
Last time I came to Sweden, cars were drivent on the left side of the roads. This week most cars I saw were driven on the right side. I am very grateful to the Nobel Foundation for this opportunity to observe this P violation. I may…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_69_10/P_69_10.pdf
Abstract : This is a preliminary version of chapter II and II of a paper on internal symmetries wich we are preparing. It contains a coordinate free formulation of SU(3) invariant algebras on the octet space.
We calculate it now in the hope that it…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_70_05/P_70_05.pdf
Abstract : The directions of breaking of the hadronic internal symmetry by the electromagnetic, semileptonic—and nonleptonic—weak and CP violating interactions are characterized by remarkable mathematical properties. These directions correspond…

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/1964-1989/P_88_58/P_88_58.pdf
Résumé : Nous introduisons un nouvel ensemble de définitions des concepts de la cristallographie en dimension n. Il est basé sur les propriétés générales des actions de groupe. Enfin nous précison comment on détermine le systèmes…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_87_42/P_87_42.pdf
To appear in Proceedings XVth International Colloquium on Group Theretical Methods in Physics (Varna, June 1987)

Abstract : An energy band in a solid contains an infinite number of states which transform linearly as a space group representation…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_86_35/P_86_35.pdf
Abstract : Band representaitons in solids are investigated in the general framework of induced representations by using the concepts of orbits (stars) and strata (Wyckoff positions) in their construction and classification. The connection between…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_85_68/P_85_68.pdf
Abstract : An historical survey of our knowledge of crystal structure and of the mathematical problem of paving space with one or a few types of stones show that a crystal has not necessarily a translation lattice. The recently discovered crystals of…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_83_77/P_83_77.pdf
Abstract : We show that a recently proposed multigenerational, grand unified model with three parameters (top-quark mass and two phases of Higgs vacuum expectation values) yields results in good agreement with the most recent phenomenological limits…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_83_35/P_83_35.pdf
Abstract : We make a general study of symmetry and stability of the fixed points of the quartic Hamiltonian
of an n-component field (or order parameter} for n&4. Simple proofs of known results are given.
Among new results, we shou that when it…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_83_23/P_83_23.pdf
Abstract. 2014 All finite as well as infinite (matrix) point subgroups of full orthogonal groups in two and three dimensions
are considered. For each point group a polynomial integrity basis for invariants and the basic polynomial vector fields are…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_83_21/P_83_21.pdf
Abstract : We give some basic concepts on group actions and theorems in invariant theory useful for the contrcution and the study of Landau polynomials. We apply them to the study of the isotropy groups of extrema of Landau polynomials. We explain…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_83_20/P_83_20.pdf
Abstract : Metabelian groups are those whose structure differ the least from Abelian groups. We explain the classification of finite metabelian groups and give some examples of physics problems where they play an important role.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_82_54/P_82_54.pdf
Lecture given by L. Michel at the XI-th International colloquium on Group Theoretical Methods in Physics at Istanbul, August 1982

Abstract : For systems with a symmetry group G, the description of physical phenomena corresponding to a…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_82_10/P_82_10.pdf
Abstract : This paper studies the number and the nature of the fixed points of the renormalization group for the ?4 model, as used for instance in the Landau theory of second order phase transitions. It is shown that when it exists the stable fixed…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_78_216/P_78_216.pdf
Abstract : The observed polarization domain of a spin 3/2 ? produced in a quasi two body or incluseve reaction is a sphere in three dimensions when the beam and the targert are unpolarized and a sphere in five dimensions otherwise. In the strong,…

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