BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Theo Assiotis (University of Edinburgh)
DTSTART:20201110T153000Z
DTEND:20201110T163000Z
DTSTAMP:20260513T195538Z
UID:OxfordRMT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OxfordRMT/6/
 ">On the joint moments of characteristic polynomials of random unitary mat
 rices</a>\nby Theo Assiotis (University of Edinburgh) as part of Oxford Ra
 ndom Matrix Theory Seminars\n\n\nAbstract\nI will talk about the joint mom
 ents of characteristic polynomials of random unitary matrices and their de
 rivatives. In joint work with Jon Keating and Jon Warren we establish the 
 asymptotics of these quantities for general real values of the exponents a
 s the size N of the matrix goes to infinity. This proves a conjecture of H
 ughes from 2001. In subsequent joint work with Benjamin Bedert\, Mustafa A
 lper Gunes and Arun Soor we focus on the leading order coefficient in the 
 asymptotics\, we connect this to Painleve equations for general values of 
 the exponents and obtain explicit expressions corresponding to the so-call
 ed classical solutions of these equations.\n
LOCATION:https://researchseminars.org/talk/OxfordRMT/6/
END:VEVENT
END:VCALENDAR