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.

Grantor dc:publisher

University of North Texas

Year dc:date

2004

Author dc:creator

• Williams, Jeremy M.

Contributors dc:contributor

• Mauldin, R. Daniel
• Allaart, Pieter C.
• Cherry, William, 1966-

• Lyapunov exponents.
• Entropy.
• Dimension theory (Topology)
• Riemann surfaces.
• diffeomorphisms
• Lyapunov exponents
• ergodic theory
• entropy
• chaos

Statement dc:rights

• Public
• Copyright
• Williams, J. M.
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 56698754
https://digital.library.unt.edu/ark:/67531/metadc4559/
ark: ark:/67531/metadc4559

OAI identifier oai:identifier

info:ark/67531/metadc4559