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BEGIN:VEVENT
UID:7120@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190215T093000
DTEND;TZID=Europe/Paris:20190215T103000
DTSTAMP:20241120T203425Z
URL:https://www.i2m.univ-amu.fr/evenements/hausdorff-dimension-of-the-spec
 trum-of-the-almost-mathieu-operator-igor-krasovsky/
SUMMARY:Igor Krasovsky (Imperial College of London): Hausdorff dimension of
  the spectrum of the almost Mathieu operator - Igor Krasovsky
DESCRIPTION:Igor Krasovsky: We will discuss the well-known quasiperiodic op
 erator: the almost Mathieu operator in the critical case. We give a new an
 d elementary proof (the first proof was completed in 2006 by Avila and Kri
 korian by a different method) of the fact that its spectrum is a zero meas
 ure Cantor set. We furthermore prove a conjecture going back to the work o
 f David Thouless in 1980s\, that the Hausdorff dimension of the spectrum i
 s not larger than 1/2. This is a joint work with Svetlana Jitomirskaya.\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Igor_Krasovsky.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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