Open Access
2011 Ergodicity, Minimality and Reducibility of Cocycles on Some Compact Groups
Xuanji Hou
Taiwanese J. Math. 15(3): 1247-1259 (2011). DOI: 10.11650/twjm/1500406297

Abstract

In this paper, we use the results in [4, 5, 11] to prove several interesting local or global density results of minimal, ergodic or reducible quasi-periodic linear systems on $SU(2)$ or $SO(3,\mathbb{R})$. In particular, we give a positive answer to a open problem of H. Eliasson in [3, 4].

Citation

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Xuanji Hou. "Ergodicity, Minimality and Reducibility of Cocycles on Some Compact Groups." Taiwanese J. Math. 15 (3) 1247 - 1259, 2011. https://doi.org/10.11650/twjm/1500406297

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1254.37023
MathSciNet: MR2829909
Digital Object Identifier: 10.11650/twjm/1500406297

Subjects:
Primary: 37C15
Secondary: 37C05

Keywords: ergodicity , minimality , reducibility

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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