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Название: Random Versus Deterministic Exponents in a Rich Family of Diffeomorphisms
Авторы: Ledrappier F., Shub M., Simo C.
Journal of Statistical Physics, Vol. 113, Nos. 1/2, October 2003. p. 85-149.
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. The motivation for this study is the hope that a rich enough family of diffeomorphisms will always have members with positive Lyapunov exponents, that is to say, positive entropy...