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Dynamical ensembles in stationary states
We propose, as a generalization of an idea of Ruelle's to describe turbulent fluid flow, a chaotic hypothesis for reversible dissipative many-particle systems in nonequilibrium stationary states inExpand
Statistical Mechanics: A Short Treatise
1. Classical Statistical Mechanics.- 2. Statistical Ensembles.- 3. Equipartition and Critique.- 4. Thermodynamic Limit and Stability.- 5. Phase Transitions.- 6. Coexistence of Phases.- 7. ExactlyExpand
Twistless KAM tori
A selfcontained proof of the KAM theorem in the Thirring model is discussed.
Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods
A self-contained analysis is given of the simplest quantum fields from the renormalization group point of view: multiscale decomposition, general renormalization theory, resummations of renormalizedExpand
Chaotic principle: an experimental test
Abstract The chaotic hypothesis discussed in Gallavotti and Cohen (1995) is tested experimentally in a simple conduction model. Besides a confirmation of the hypothesis predictions the resultsExpand
Nonequilibrium and Irreversibility
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states ofExpand
The elements of mechanics
1 Phenomenic Reality and Models.- 2 Qualitative Aspects of the One-Dimensional Motion.- 3 Systems with Many Degrees of Freedom. Theory of the Constraints. Analytical Mechanics.- 4 Special MechanicalExpand
Stability of motions near resonances in quasi-integrable Hamiltonian systems
Nekhoroshev's theorem on the stability of motions in quasi-integrable Hamiltonian systems is revisited. At variance with the proofs already available in the literature, we explicitly consider theExpand
The Fermi-Pasta-Ulam problem : a status report
to FPU.- Dynamics of Oscillator Chains.- Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction.- The Fermi-Pasta-Ulam Problem and the Metastability Perspective.-Expand
Perturbation Theory
  • G. Gallavotti
  • Physics, Computer Science
  • Encyclopedia of Complexity and Systems Science
  • 16 November 2007
Perturbation theory is very often the only way to get a glimpse of the properties of systems whose equations cannot be “explicitly solved” in computable form. Expand