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SUMMARY:The characteristic polynomial of a random unitary matrix and Gauss
 ian multiplicative chaos. - Dr Christian Webb\, Aalto University\, Finland
  
DTSTART:20141104T163000Z
DTEND:20141104T173000Z
UID:TALK55326@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:We consider the absolute value of the characteristic polynomia
 l of a Haar distributed random unitary matrix. More precisely\, we divide 
 the absolute value of the characteristic polynomial by its expectation and
  think of this as the density of a random measure on the unit circle.\nUsi
 ng some recent results on asymptotics of Toeplitz determinants by Tom Clae
 ys and Igor Krasovsky\, we prove that as one increases the size of the mat
 rix\, this measure converges to a random measure which can be described wi
 th the theory of Gaussian multiplicative chaos.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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