Stable one-dimensional quasi-periodic cocycles on unitary group

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

References

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