Gallavotti, Giovanni

Chaotic hypothesis and universal large deviations properties

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


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


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