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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Ergodic attractors


Authors: Charles Pugh and Michael Shub
Journal: Trans. Amer. Math. Soc. 312 (1989), 1-54
MSC: Primary 58F12; Secondary 28D05, 58F11, 58F15, 58F18
MathSciNet review: 983869
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Abstract | References | Similar Articles | Additional Information

Abstract: 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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0983869-1
PII: S 0002-9947(1989)0983869-1
Article copyright: © Copyright 1989 American Mathematical Society