Continuity of Lyapunov Exponents and Cantor spectrum for a class of $C^2$ Quasiperiodic Schr"odinger Cocycles

Add to your list(s) Download to your calendar using vCal

• Wang, Y (Nanjing University)
• Wednesday 08 April 2015, 15:00-16:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

This talk has been canceled/deleted

Co-author: Zhenghe Zhang (Rice University)

We show that for a class of $C^2$ quasiperiodic potentials and for any fixed mph{Diophantine} frequency, the Lyapunov exponents of the corresponding Schr”odinger cocycles are uniformly positive and weakly H”older continuous as function of energies. Moreover, we show that the spectrum is Cantor. Our approach is of purely dynamical systems, which depends on a detailed analysis of asymptotic stable and unstable directions. We also apply it to general quasiperiodic $mathrm{SL}(2,R)$ 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.