Random versus deterministic exponents in a rich family of diffeomorphisms

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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.
51 pages. Due to space limitations, this version of the paper does not contain figures. A version with the figures is available at either http://www.math.northwestern.edu/~wilkinso/papers (8 1/2 x 11 format) or http//www.maia.ub.es/dsg/2002/index.html (A4 format)

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