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SUMMARY:Measure of the spectrum of the extended Harper's model - Han\, R (
 University of California\, Irvine)
DTSTART:20150407T150000Z
DTEND:20150407T152500Z
UID:TALK58805@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Svetlana Jitomirskaya (University of California\, I
 rvine) \n\nIn this talk\, we will discuss the measure of the spectrum of t
 he extended Harper's model(EHM). The measure of the spectrum of the Harper
 's model\, which in mathematics is better known as the almost Mathieu oper
 ator(AMO)\, is know to be |4-2a| where a is the coupling constant. The way
  of calculating the measure mainly relies on the analysis of the AMO with 
 rational frequency and the continuity argument. Here we focus on how to ca
 lculate the measure of the spectrum of the EHM with rational frequency\, t
 herefore implying the result of irrtional frequency.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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