Global density of reducible quasi-periodic cocycles on T1 x SU(2)

• 成果类型: Article
• 署名作者: Krikorian, RL
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/3062098
• 发表日期: 2001
• 页码: 269-326
• 关键词: everywhere reducibility; coefficients; systems

摘要

We prove that given ce in a set of total (Haar) measure in T-1 = R/Z, the set of A epsilon C-infinity (T-1, SU (2)) for which the skew-product system (a, A) : T-1 x SU(2) --> T-1 x SU(2), (alpha, A)(theta, y) = (theta + alpha, A(theta )y) is reducible - that is, A((.)) = B((.) + alpha )A(0)B((.))(-1), for some A(0) epsilon SU(2), B epsilon C-infinity(T-1,SU(2)),- is dense for the C-infinity-topology.