Geodesic
Chaotic hypothesis and universal large deviations properties
Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 205-233.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 37D20, 37D45, 37A60, 82B05, 76F99
Keywords: Anosov maps, reversibility, chaotic systems, large deviation, smooth hyperbolic systems 
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     author = {Gallavotti, Giovanni},
     title = {Chaotic hypothesis and universal large deviations properties},
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Gallavotti, Giovanni. Chaotic hypothesis and universal large deviations properties. Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 205-233. http://geodesic.mathdoc.fr/item/DOCMA_1998__S10__a23/