BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20210328T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20211031T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260404T093657Z
UID:1632409200@ist.ac.at
DTSTART:20210923T170000
DTEND:20210923T175000
DESCRIPTION:Speaker: Mustafa Alper Gunes\nhosted by Laszlo Erdös\nAbstract
 : In this talk\, we will explore the joint moments of a characteristic pol
 ynomial of the Circular $\\beta$-ensemble and its derivative. More precise
 ly\, we will show that after an appropriate rescaling\, these moments conv
 erge to some function of the exponents $s$ and $h$ appearing in the moment
 s\, and discuss in which cases an explicit formula has been obtained. In d
 oing this\, we will delve into the theory of consistent measures and coher
 ent random families of interlacing arrays\, which prove to be very useful 
 in proving convergence of the moments. Finally\, we will discuss the conne
 ction of these moments to Painleve equations in the very special case of $
 \\beta=2$. Based on joint works with Assiotis\, Bedert and Soor (2020)\; a
 nd Assiotis and Soor (2021). 
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Mustafa Alper Gunes: Joint Moments of C$\\beta$E\, Consistent Rando
 m Interlacing Arrays and Painleve Equations
URL:https://talks-calendar.ista.ac.at/events/3247
END:VEVENT
END:VCALENDAR