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Titlebook: Aspects of Ergodic, Qualitative and Statistical Theory of Motion; Giovanni Gallavotti,Federico Bonetto,Guido Gentile Book 2004 Springer-Ve

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General Properties of Gibbs and SRB Distributions,The study of Gibbs distributions can be performed in remarkable depth as we shall hint in this section and in the forthcoming ones. We begin with a structure theorem which can be articulated into various propositions.
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Special Ergodic Theory Problems in Nonchaotic Dynamics,A very natural and important question that one can ask about stability in Hamiltonian systems is what becomes of the simple foliation of phase space into invariant tori when a perturbing force is switched on.
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Ergodicity and Ergodic Points,he case of particularly simple systems; for instance in the case in which.and (..). is a Hamiltonian flow which is analytically integrable on a region . ⊂ ℝ. and . = ., cf. definition 1.3.1. This means looking at motions observed at time intervals ... More precisely the following proposition holds.
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