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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Format: | Others |
Language: | English |
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University of North Texas
2004
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Online Access: | https://digital.library.unt.edu/ark:/67531/metadc4559/ |