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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc4559 |
| Date | 08 1900 |
| Creators | Williams, Jeremy M. |
| Contributors | Mauldin, R. Daniel, Allaart, Pieter C., Cherry, William, 1966- |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Williams, J. M., Copyright is held by the author, unless otherwise noted. All rights reserved. |
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