DOCUMENTA MATHEMATICA, Extra Volume ICM I (1998), 205-233

Giovanni Gallavotti

Title: Chaotic Hypothesis and Universal Large Deviations Properties

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.

1991 Mathematics Subject Classification:

Keywords and Phrases: Chaotic hypothesis, Anosov maps, Reversibility, Large deviations, Chaos

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