most citedRandom versus deterministic exponents in a rich family of diffeomorphisms

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math.DS2002★ 2 cited

Random versus deterministic exponents in a rich family of diffeomorphisms

Francois Ledrappier, Michael Shub, Carles Simo +1

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 t…

math.DS2002

Partial differentiability of invariant splittings

Charles Pugh, Michael Shub, Amie Wilkinson

A key feature of a general nonlinear partially hyperbolic dynamical system is the absence of differentiability of its invariant splitting. In this paper, we show that often partial…