38 citations · 50 across the 8 of their papers we have counts for
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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…