BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250702T075848EDT-55142dtNJU@132.216.98.100 DTSTAMP:20250702T115848Z DESCRIPTION:Title: Integrated density of states of the periodic Airy-Schröd inger operator\n Abstract: In this talk I present\, in the semiclassical re gime\, an explicit formula for the integrated density of states of the per iodic Airy-Schrodinger operator on the real line. The potential of this Sc hrödinger operator is periodic\, continuous and piecewise linear. For this purpose\, the spectrum of the Schrödinger operator whose potential is the restriction of the periodic Airy-Schrödinger potential to a finite number of periods is studied. We prove that all the eigenvalues of the operator corresponding to the restricted potential are in the spectral bands of the periodic Airy-Schrodinger operator and none of them are in its spectral g aps. In the semiclassical regime\, we count the number of these eigenvalue s in each of the spectral bands. Note that in these results there are expl icit constants which characterize the semiclassical regime. This is joint work with Olivier Lafitte (USPN - CRM Montreal).\n\nFor zoom meeting infor mation\, please contact dmitry.jakobson [at] mcgill.ca\n DTSTART:20210402T153000Z DTEND:20210402T163000Z SUMMARY:Hakim Boumaza (Paris) URL:/mathstat/channels/event/hakim-boumaza-paris-33005 8 END:VEVENT END:VCALENDAR