François Ledrappier, Michael Shub, et al.
Journal of Statistical Physics
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 derivatives of the splitting exist and the splitting depends smoothly on the dynamical system itself.
François Ledrappier, Michael Shub, et al.
Journal of Statistical Physics
Charles Pugh, Michael Shub, et al.
Duke Mathematical Journal
Charles Pugh, Michael Shub, et al.
Duke Mathematical Journal
Michael Shub, Amie Wilkinson
Ergodic Theory and Dynamical Systems