Stable one-dimensional quasi-periodic cocycles
on unitary group

doi:10.1007/s11464-009-0024-6

Front. Math. China

2009, Vol. 4

Issue (4) : 651-658 https://doi.org/10.1007/s11464-009-0024-6

Research articles

Stable one-dimensional quasi-periodic cocycles on unitary group

Xuanji HOU,

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

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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.

Keywords Cocycle stable reducible

Issue Date: 05 December 2009

Cite this article:

Xuanji HOU. Stable one-dimensional quasi-periodic cocycles on unitary group[J]. Front. Math. China, 2009, 4(4): 651-658.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0024-6
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I4/651

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