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On equivariant triangularization of matrix cocycles

The Multiplicative Ergodic Theorem is a powerful tool for studying certain types of dynamical systems, involving real matrix cocycles. It gives a block diagonalization of these cocycles, according to the Lyapunov exponents. We ask if it is always possible to refine the diagonalization to a block upper-triangularization, and if not over the real numbers, then over the complex numbers. After building up to the posing of the question, we prove that there are counterexamples to this statement, and give concrete examples of matrix cocycles which cannot be block upper-triangularized. / Graduate / 0405 / jahoran@uvic.ca

Identiferoai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/5970
Date14 April 2015
CreatorsHoran, Joseph Anthony
ContributorsQuas, Anthony Nicholas, Bose, Christopher J.
Source SetsUniversity of Victoria
LanguageEnglish, English
Detected LanguageEnglish
TypeThesis
RightsAvailable to the World Wide Web

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