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TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20190331T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20260403T220427Z
UID:5b4d8fb086fbb916278967@ist.ac.at
DTSTART:20190117T160000
DTEND:20190117T180000
DESCRIPTION:Speaker: Lucas Benigni\nhosted by Laszlo Erdos\nAbstract: We wi
 ll study different properties of eigenvectors of random matrices using the
  dynamical method. In the first part of the talk\, I will discuss the dist
 ribution and the quantum unique ergodicity property of eigenvectors of def
 ormed Wigner matrices. We will see that eigenvector entries are asymptotic
 ally Gaussian with a specific variance localizing them on a small part of 
 the spectrum. The proof relies on a priori local laws for this model and t
 he eigenvector moment flow. In the second part of the talk\, I will give s
 ome insight in the study of the fluctuations of eigenvectors through the i
 ntroduction of a new observable following the same eigenvector moment flow
 .
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:swheatle@ist.ac.at
SUMMARY:Lucas Benigni: On the distribution and fluctuations of eigenvectors
  of random matrices
URL:https://talks-calendar.ista.ac.at/events/1738
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