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  • Mots-clés: PREPUBLICATION

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_77_190/P_77_190.pdf
Abstract : The asymptotic behavior of differentiable dynamical systems is analyzed. We discuss its descriptoin by asymptotic measures and the turbulent behavior with senditive dependence on initial condition.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_77_163/P_77_163.pdf
Abstract : Sufficient conditions are given such that a differentiable, noninvertible, map g : [0,1]~[0,1] leaves invariant a measure absolutely continuous with respect to the Lebesgue measure. In particular, this is shown to be the case for…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_76_149/P_76_149.pdf
Abstract : Let Z be a suitable Banach space of interactions for a lattice spin system. If n+1 thermodynamic phases coexist for ?0 ?Z, it is shown that a manifold of codimension n of coexistence of (at least) n+1 phases passes through ?0. There are…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_75_129/P_75_129.pdf
Abstract : Probability estimates for classical systems of particles with superstable interactions [1] are extended to continuous spin systems.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_75_128/P_75_128.pdf
Abstract : Using a theorem on convex functions due to Israel, it is shown that a point of coexistence of n+1n+1 phases cannot be isolated in the space of interactions, but lies on some infinite dimensional manifold.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/MP_75_106/MP_75_106.pdf
Abstract : Given a real-analytic expanding endomorphism of a compact manifold M, a meromorphic zeta function is defined on the complex-valued real-analytic functions on M. A zeta function for Anosov flows is shown to be meromorphic if the flow and…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_72_29/P_72_29.pdf
Abstract : We use techniques which generalize the Lee-Yang circle theorem to investigate the distribution of zeroes of the partition function for various classes of classical lattice systems.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_72_20/P_72_20.pdf
Abstract : Let the origin O of a Banach space E be a fixed point of a diffeomorphism or a critical point of a vector, assuming equivariance under a linear group of isometries of E. Explicit techniques are presented to handle the generalization of the…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X036/P_70_X036.pdf
Abstract : A mechanism for the genetration of turbulence and related phenomena in dissipative systems is proposed.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X033/P_70_X033.pdf
Abstract : We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form ?(x1,...,xn)??n. Using these and…

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_69_30/P_69_30.pdf
Lecture given at the Ecole d'Eté de Physique Théorique. Cargèse, Corsica, 1969.

Abstract : We discuss the general problem of symmetry beakdown in the algebraic approach to statistical mechanics. We consider in particular the case of classical…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_68_X022/P_68_X022.pdf
Abstract : We investigate the ground states of infinite quantum lattice systems. It is shown in particular that a positive energy operator is associated with these states.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X016/P_67_X016.pdf
Abstract : We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result of Van Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the…

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/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

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