2 citations · 2 across the 3 of their papers we have counts for
3 papers · 1 filter
Convex Dynamics and Applications
R. L. Adler, B. Kitchens, M. Martens +3
This paper proves a theorem about bounding orbits of a time dependent dynamical system. The maps that are involved are examples in convex dynamics, by which we mean the dynamics of…
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…
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…