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  • Mots-clés: LEBESGUE

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_81_23/P_81_23.pdf
Abstract : The strange attractors plotted by computers and seen in physical experiments do not necessarily have an open basin of attraction. In view of this we study a new definition of attractors based on ideas of Conley. We argue that the…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_78_245/P_78_245.pdf
Abstract : One expects that the average behavior (over large times) for hydordynamics and other natural phenomena is described by certain asymptotic measures on phase space. If initial conditions in a set of zero Lebesgu measure ar discarded, the…

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_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_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_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/LANFORD/1968-2013/P_69_12/P_69_12.pdf
Abstract : We say that a representation of an algebra of local observables has short-range correlations if any observable which can be measured outside all bounded sets is a multiple of the identity, and that a state has finite range correlations if…

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