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SUMMARY:Mira Shamis (Queen Mary)
DTSTART:20210114T200000Z
DTEND:20210114T210000Z
DTSTAMP:20260423T021434Z
UID:Thouless/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Thouless/2/"
 >On the abominable properties of the Almost Mathieu operator with Liouvill
 e frequencies</a>\nby Mira Shamis (Queen Mary) as part of UCI Mathematical
  Physics\n\n\nAbstract\nWe show that\, for sufficiently well approximable 
 frequencies\, several spectral characteristics of the Almost Mathieu opera
 tor can be as poor as at all possible in the class of all discrete Schroed
 inger operators. For example\, the modulus of continuity of the integrated
  density of states may be no better than logarithmic. Other characteristic
 s to be discussed are homogeneity\, the Parreau-Widom property\, and (for 
 the critical AMO) the Hausdorff content of the spectrum. Based on joint wo
 rk with A. Avila\, Y. Last\, and Q. Zhou\n
LOCATION:https://researchseminars.org/talk/Thouless/2/
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