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Random versus deterministic exponents in a rich family of diffeomorphisms

Francois Ledrappier, Michael Shub, Carles Simo, Amie Wilkinson

math.DSarXiv:math/0210252

Abstract

We study, both numerically and theoretically, the relationship between the random Lyapunov exponent of a family of area preserving diffeomorphisms of the 2-sphere and the mean of the Lyapunov exponents of the individual members.

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