Random versus deterministic exponents in a rich family of diffeomorphisms

Mathematics – Dynamical Systems

Scientific paper

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51 pages. Due to space limitations, this version of the paper does not contain figures. A version with the figures is availabl

Scientific paper

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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