Gallavotti, Giovanni

Chaotic hypothesis and universal large deviations properties

Doc. Math. (Bielefeld) Extra Vol. ICM Berlin 1998, Vol. I, 205-233 (1998)

Summary

Chaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be drawn simply by assuming that a system is hyperbolic? Here we present a few model independent general consequences which may have some relevance for the physics of chaotic systems.

Mathematics Subject Classification

37D20, 37D45, 37A60, 82B05, 76F99

Keywords/Phrases

Anosov maps, reversibility, chaotic systems, large deviation, smooth hyperbolic systems

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