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SUMMARY:Lévy master fields on the plane - Antoine Dahlqvist (Cambridge)
DTSTART:20151013T153000Z
DTEND:20151013T163000Z
UID:TALK60765@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:This is a joint work with Guillaume Cébron and Franck Gabriel
 .  We shall consider a family of random matrix models introduced by Thierr
 y Lévy and called Markovian holonomy fields.   Each of them is characteri
 zed by a Lévy process with suitable invariance properties on a compact gr
 oup of matrices. The  Yang-Mills measure on the Euclidean plane can be vie
 wed as such and is characterized by a Brownian motion.  We shall explain h
 ow to use a result analog to the Kolmogorov continuity theorem to prove co
 nvergence theorems as the size of the matrices goes to infinity.  We class
 ify the limiting objects  obtained in this way and characterize among them
  the limit associated to the Brownian motion\, previously considered by Th
 ierry Lévy and called planar master field.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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