BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:MIT Probability Seminar (Special Time)
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260517T211228Z
UID:tag:localist.com\,2008:EventInstance_39483343696209
DTSTART:20220509T190000Z
DTEND:20220509T200000Z
DESCRIPTION:Speaker: Phil Sosoe (Cornell University)\n\nTitle: Almost-optim
 al regularity conditions in the CLT for Wigner matrices\n\nAbstract: We co
 nsider linear spectral statistics for test functions of low regularity and
  Wigner matrices with smooth entry distribution. We show that for function
 s in the Sobolev space $H^{1/2 + \\epsilon}$ or the space $C^{1/2 + \\epsi
 lon}$ that are supported within the spectral bulk of the semicircle distri
 bution\, the variance remains bounded asymptotically. As a consequence\, t
 hese linear spectral statistics have asymptotic Gaussian fluctuations with
  the same variance as in the CLT for functions of higher regularity\, for 
 any $\\epsilon > 0$. This result is nearly optimal in the sense that the v
 ariance does remain bounded for functions in $H^{1/2}$\, and was previousl
 y known only for matrices in Gaussian Unitary Ensemble.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-361
SUMMARY:MIT Probability Seminar (Special Time)
URL;VALUE=URI:https://calendar.mit.edu/event/mit_probability_seminar_202205
 09
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR