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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 beautiful relationship between these three concepts; namely that the entropy equals dimension times expansion.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc4559
Date08 1900
CreatorsWilliams, Jeremy M.
ContributorsMauldin, R. Daniel, Allaart, Pieter C., Cherry, William, 1966-
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Copyright, Williams, J. M., Copyright is held by the author, unless otherwise noted. All rights reserved.

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