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SUMMARY:High energy asymptotics of the integrated density of states of alm
 ost periodic pseudo-differential operators - Morozov\, S (Ludwig-Maximilia
 ns-Universitt Mnchen)
DTSTART:20150408T150000Z
DTEND:20150408T152500Z
UID:TALK58816@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The existence of  complete asymptotic expansion for the integr
 ated density of states in the high energy regime was long conjectured for 
 periodic Schrdinger operators. I will discuss the history of the subject a
 nd present an eventual solution in the multidimensional situation. It turn
 s out that the result applies to a big class of almost periodic pseudo-dif
 ferential operators with smooth symbols. The proof is based on an applicat
 ion of the gauge transform discussed in the minicourse of A. Sobolev durin
 g the introductory workshop. The talk is based on a joint work with L. Par
 novski and R. Shterenberg.\n
LOCATION:Seminar Room 1\, Newton Institute
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