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SUMMARY:A Wegner estimate and localisation for alloy-type models with sign
 -changing exponentially decaying single-site potentials - Peyerimhoff\, N 
 (Durham University)
DTSTART:20150323T133000Z
DTEND:20150323T143000Z
UID:TALK58526@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Martin Tautenhahn (TU Chemnitz\, Germany)\, Ivan V
 eselic (Tu Chemnitz\, Germany)\, Karsten Leohardt (MPIPKS\, Dresden\, Germ
 any) \n\nIn this talk\, we will consider discrete Schroedinger operators o
 n the d-dimensional Euclidean lattice with random potential of alloy-type.
  The single site potential is exponentially decaying and allowed to be sig
 n changing. The main aim is to prove a Wegner estimate\, which is polynomi
 al in the size of the box and linear in the size of the energy interval. O
 ur result generalises earlier ones obtained by Veselic. Our Wegner estimat
 e is of a type which can be used for the multiscale analysis proof of loca
 lisation in all energy regions\, where the initial scale estimate holds. C
 oncerning localisation\, it should be mentioned that Krueger has obtained 
 localisation results for a class of discrete alloy-type models which inclu
 de ours. \n\nThis is joint work with Karsten Leonhardt (MPIPKS\, Dresden)\
 , Martin Tautenhahn (TU Chemnitz)\, and Ivan Veselic (TU Chemnitz). \n\nBi
 bliography: \n\nH. Krueger: Localization for random operators with non-mon
 otone potentials with exponentially decaying correlations\, Ann. Henri Poi
 ncare 13 (3)\, 543-598\, 2012. \n\nI. Veselic: Wegner estimates for discre
 te alloy-type models\, Ann. Henri Poincaree 11 (5)\, 991-1005\, 2010.\n
LOCATION:Seminar Room 1\, Newton Institute
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