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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Some results on $d imes d$ cocycles
Some results on $d imes d$ cocyclesAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. This talk has been canceled/deleted I want to present some results on higher dimensional cocycles which may have applications for quasi-periodic operators on strips. The talk is split into two parts: 1.) On complex analytic one-frequency cocycles (joint work with A. Avila and S. Jitomirskaya) We classify dominated cocycles and show joint continuity in frequency and analytic cocycle function A(x) of all Lyapunov exponents at irrational frequencies. As a consequence we also obtain that for a given frequency there is a dense open set of cocycles that are odminated or have trivial Lyapunov spectrum. 2.) A Herman-Avila-Bochi formula for Hermitian symplectic or pseudo-unitary cocycles. I show a generalization of the Herman-Avila Bochi formula for SL(2,R) cocycles. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
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