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SUMMARY:Homogeneous Spectrum for Limit-Periodic Operators - Fillman\, J (R
 ice University)
DTSTART:20150410T150000Z
DTEND:20150410T152500Z
UID:TALK58850@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Milivoje Lukic (University of Toronto) \n\nWe will 
 discuss the spectra of limit-periodic Schr"odinger operators. Specifically
 \, the spectrum of a limit-periodic operator which obeys the Pastur-Tkache
 nko condition is homogeneous in the sense of Carleson. When combined with 
 work of Gesztesy-Yuditskii\, our theorem implies that the spectrum of a co
 ntinuum Schr"odinger operator with Pastur--Tkachenko potential has infinit
 e gap length whenever the potential fails to be uniformly almost periodic.
 \n
LOCATION:Seminar Room 1\, Newton Institute
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