Frontiers of Mathematics in China >

2009 , Vol. 4 >Issue 4: 651 - 658

DOI: https://doi.org/10.1007/s11464-009-0024-6

Research articles

Stable one-dimensional quasi-periodic cocycles on unitary group

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  • Department of Astronomy, Nanjing University, Nanjing 210093, China;

Published date: 05 Dec 2009

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Abstract

In this paper, we study the stable one-dimensional quasi-periodic C∞ cocycles on U(N). We prove that any such cocycle on a generic irrational rotation is a limit point of reducible cocycles. The proof is based on Krikorian’s renormalization scheme and a local result of him.

Key words： Cocycle; stable; reducible

Cite this article

Xuanji HOU, . Stable one-dimensional quasi-periodic cocycles on unitary group[J]. Frontiers of Mathematics in China, 2009 , 4(4) : 651 -658 . DOI: 10.1007/s11464-009-0024-6

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