Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
Using the graph transform method, we give a geometric treatment of Pesin's invariant manifold theory. Beyond deriving the existence, uniqueness, and smoothness results by Fathi, Herman, and Yoccoz our method allows us to do four things: optimally conserve smoothness, deal with endomorphisms, prove absolute continuity of the Pesin laminations, and produce ergodic attractors. © 1989 American Mathematical Society.
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
M. Shub, B. Weiss
Ergodic Theory and Dynamical Systems
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989
A. Grill, B.S. Meyerson, et al.
Proceedings of SPIE 1989