Nonlinear Evolution and Chaotic Phenomena - Gallavotti, Giovanni

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Biographie:
Giovanni Gallavotti, emeritus, has been fellow at IHES (Paris, 1966-1968) with David Ruelle and post doc at Rockefeller University (New York, 1968-1970) with Mark Kac. He has been, since 1972, full professor in various universities (Napoli, Roma2 and Roma1). He has been long term visitor at IHES, IAS, Nijmegen, Princeton and Rutgers University. His primary research focused subsequently on theoretical and historical aspects of Equilibrium Statistical Mechanics, Quantum field theory, Low temperature Fermi systems, Nonequilibrium and, currently, concentrates on mathematical problems on Fluid mechanics. Recipient of several awards and prizes (Presidente della Repubblica prize, Boltzmann medal, Henri Poincare' prize)....

Sommaire:
Conference Summary.- Chaotic Maps.- Complicated Objects on Regular Trees.- Renormalization Group Methods for Circle Mappings.- Phase Transitions on Strange Sets.- Stochastic Perturbations of the Invariant Measure of Some Hyperbolic Dynamical Systems.- Fixed Points of Composition Operators.- Differentiable Structures on Fractal Like Sets, Determined by Intrinsic Scaling Functions on Dual Cantor Sets.- Classical Mechanics-Particles and Fluids.- Painlev?: Property and Integrability.- Nekhoroshev-like Results for Hamiltonian Dynamical Systems.- Relaxation Times and the Foundations of Classical Statistical Mechanics in the Light of Modern Perturbation Theory.- Relevance of Exponentially Large Time Scales in Practical Applications: Effective Fractal Dimensions in Conservative Dynamical Systems.- Numerical Results from Truncated Navier-Stokes Equations (Summary).- A Simple and Compact Presentation of Birkhoff Series.- Two Lectures on Chaotic Dynamics in the Solar System.- Quantum Chaos.- Quantum Chaology of Energy Levels; Notes Based on Lectures by Michael Berry.- Quantum Mechanics and Chaos.- Statistical Mechanics.- Dynamics of Automota, Spin Glasses and Neural Network Models.- On the Weakly Coupled Lorentz Gas.- Dynamical System Describing the Low Temperature Phase of a Driven Lattice Gas.- Computing Bounds on Critical Indices.- A Thermodynamic Active System in Regular and Chaotic Motion.- Experiments.- Experiment and Theory of the Classically Chaotic Motion of the Bound Electron.- Shil'nikov Chaos in Lasers.- Recent Results of Experiments with Staffman-Taylor Flow.- Instabilities and Chaos in Rotating Fluids.- From Chaos to Turbulence in an Helium Experiment (Summary).- Complex Dynamics in Experiments on a Chemical Reaction (Summary).- Addenda.- Additional ContributedSeminars.- Contributors.