BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Philipp Gohlke (Universität Bielefeld) DTSTART:20220111T133000Z DTEND:20220111T143000Z DTSTAMP:20260423T052923Z UID:OWNS/71 DESCRIPTION:Title: Ze ro measure spectrum for multi-frequency Schrödinger operators\nby Phi lipp Gohlke (Universität Bielefeld) as part of One World Numeration semin ar\n\n\nAbstract\nCantor spectrum of zero Lebesgue measure is a striking f eature of Schrödinger operators associated with certain models of aperiod ic order\, like primitive substitution systems or Sturmian subshifts. This is known to follow from a condition introduced by Boshernitzan that estab lishes that on infinitely many scales words of the same length appear with a similar frequency. Building on works of Berthé–Steiner–Thuswaldner and Fogg–Nous we show that on the two-dimensional torus\, Lebesgue almo st every translation admits a natural coding such that the associated subs hift satisfies the Boshernitzan criterion (joint work with J.Chaika\, D.Da manik and J.Fillman).\n LOCATION:https://researchseminars.org/talk/OWNS/71/ END:VEVENT END:VCALENDAR