BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20170326T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20171029T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260428T112237Z
UID:57f791caf1450061091989@ist.ac.at
DTSTART:20170406T160000
DTEND:20170406T180000
DESCRIPTION:Speaker: Mitia Duerinckx\nhosted by Julian Fischer\nAbstract: W
 e discuss the long-time transport properties of the Schrödinger equation 
 with a disordered potential of weak intensity. In the periodic setting\, t
 he usual Bloch wave decomposition reduces the problem to the perturbation 
 of a simple isolated eigenvalue\, while in the quasi-periodic case the cor
 responding eigenvalue is no longer isolated and while in the random case i
 t is even immersed in an absolutely continuous spectrum. Such a perturbati
 on analysis in the periodic setting easily leads to asymptotic ballistic t
 ransport properties\, but the situation is very different and much more un
 clear in the two other situations. And for good reasons: in the random set
 ting it is indeed known that the transport rather becomes diffusive on ver
 y long timescales. In this talk\, we show how the construction of a trunca
 ted perturbation series\, only approximately solving the perturbed eigenva
 lue equation\, can be used in the quasi-periodic setting to rigorously pro
 ve that ballistic transport holds at least up to exponential times. In the
  random setting\, a similar approach allows to optimally determine the cri
 tical time up to which ballistic transport holds\, in terms of the decay o
 f the correlations of the potential.\n
LOCATION:Seminar room Big Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Mitia Duerinckx: Approximate spectral approach to asymptotic transp
 ort properties of quantum waves
URL:https://talks-calendar.ista.ac.at/events/404
END:VEVENT
END:VCALENDAR