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SUMMARY:Analytic quasiperiodic matrix cocycles: continuity and quantizatio
 n of the Lyapunov exponents - Jitomirskaya\, s (University of California\,
  Irvine)
DTSTART:20120919T155000Z
DTEND:20120919T163000Z
UID:TALK39906@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:As\, beginning with the famous Hofstadter's butterfly\, all nu
 merical studies of spectral and dynamical quantities related to quasiperio
 dic operators are actually performed for their rational frequency approxim
 ants\, the questions of continuity upon such approximation are of fundamen
 tal importance. The fact that continuity issues may be delicate is illustr
 ated by the recently discovered discontinuity of the Lyapunov exponent for
  non-analytic potentials.\n \nI will focus on work in progress\, joint wit
 h Avila and Sadel\, where we develop a new approach to continuity\, powerf
 ul enough to handle matrices of any size and leading to a number of strong
  consequences.
LOCATION:Seminar Room 1\, Newton Institute
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