Stable one-dimensional quasi-periodic cocycles
on unitary group

doi:10.1007/s11464-009-0024-6

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Front. Math. China ›› 2009, Vol. 4 ›› Issue (4) : 651-658. DOI: 10.1007/s11464-009-0024-6

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Stable one-dimensional quasi-periodic cocycles on unitary group

Xuanji HOU,

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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

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Xuanji HOU,. Stable one-dimensional quasi-periodic cocycles on unitary group. Front. Math. China, 2009, 4(4): 651‒658 https://doi.org/10.1007/s11464-009-0024-6