Large deviations in hyperbolic billiards

Luc Rey-Bellet

UMASS Amherst

We present some large deviation results for ergodic averages for dynamical systems which have some hyperbolicity but are not necessary uniformly hyperbolic. Examples are the Lorentz gas, some quadratic maps of the intervals, Henon maps, etc.. This is a joint work with L.S. Young.

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