Lyapunov Exponents, Entropy and Dimension

We consider diffeomorphisms of a compact Riemann Surface. A development of Oseledec's Multiplicative Ergodic Theorem is given, along with a development of measure theoretic entropy and dimension. The main result, due to L.S. Young, is that for certain diffeomorphisms of a surface, there is a be...

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Bibliographic Details
Main Author: Williams, Jeremy M.
Other Authors: Mauldin, R. Daniel
Format: Others
Language:English
Published: University of North Texas 2004
Subjects:
Online Access:https://digital.library.unt.edu/ark:/67531/metadc4559/