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CATEGORIES:Probability
SUMMARY:Monodromies of ramified random coverings and geome
try on partitions - Franck Gabriel (Warwick)
DTSTART;TZID=Europe/London:20151201T163000
DTEND;TZID=Europe/London:20151201T173000
UID:TALK62648AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/62648
DESCRIPTION:Random monodromies of natural models of random ram
ified coverings on the disk define a S(N)- valued
planar Markovian holonomy fields. Generalizing a r
esult of T. Levy about the asymptotic\, as N goes
to infinity\, of the Yang-Mills measure which is a
special U(N)-valued planar Markovian holonomy fie
ld\, we prove that the random monodromies of the c
onsidered random ramified coverings converge in no
n-commutative distribution. In order to do so\, we
will present a proof of the convergence of the ei
genvalues distribution of general random walks on
the symmetric group which is based on a generaliza
tion of ideas from free probability. These new too
ls were created in order to study random matrices
invariant by the symmetric group and are based on
a geometric study of partitions.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:Perla Sousi
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