BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Probability
SUMMARY:Scaling limits of random planar maps with large fa
ces - Gregory Miermont (Paris-Sud Orsay)
DTSTART;TZID=Europe/London:20100119T163000
DTEND;TZID=Europe/London:20100119T173000
UID:TALK22460AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/22460
DESCRIPTION:We discuss asymptotics of large random maps in whi
ch the distribution of the degree of a typical fac
e has a polynomial tail. When the number of vertic
es of the map goes to infinity\, the appropriately
rescaled distances from a base vertex can be desc
ribed in terms of a new random process\, defined i
n terms of a field of Brownian bridges over the so
-called stable trees. This allows to obtain weak c
onvergence results in the Gromov-Hausdorff sense f
or these "maps with large faces"\, viewed as metri
c spaces by endowing the set of their vertices wit
h the graph distance. The limiting spaces form a o
ne-parameter family of "stable maps"\, in a way pa
rallel to the fact that the so-called Brownian map
is the conjectured scaling limit for families of
maps with faces-degrees having exponential tails.
This work takes part of its motivation from the st
udy of statistical physics models on random maps.
Joint work with J.-F. Le Gall.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:Berestycki
END:VEVENT
END:VCALENDAR