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SUMMARY:Mira Shamis (Queen Mary University of London)
DTSTART:20221214T121000Z
DTEND:20221214T133000Z
DTSTAMP:20260423T005728Z
UID:GDS/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/70/">On 
 the abominable properties of the Almost Mathieu operator with Liouville fr
 equencies</a>\nby Mira Shamis (Queen Mary University of London) as part of
  Geometry and Dynamics seminar\n\n\nAbstract\nWe show that\, for sufficien
 tly well approximable frequencies\, several\nspectral characteristics of t
 he Almost Mathieu operator can be as poor\nas at all possible in the class
  of all discrete Schroedinger\noperators. For example\, the modulus of con
 tinuity of the integrated\ndensity of states may be no better than logarit
 hmic. Other\ncharacteristics to be discussed are homogeneity\, the Parreau
 -Widom\nproperty\, and (for the critical AMO) the Hausdorff content of the
 \nspectrum. Based on joint work with A. Avila\, Y. Last\, and Q. Zhou.\n
LOCATION:https://researchseminars.org/talk/GDS/70/
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