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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Geometry of large random planar maps with a prescr
ibed degree sequence - Cyril Marzouk (Université P
aris Saclay)
DTSTART;TZID=Europe/London:20180713T091000
DTEND;TZID=Europe/London:20180713T093000
UID:TALK107983AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/107983
DESCRIPTION:I will discuss some recent progress and still ongo
ing work about the scaling limit of the following
configuration-like model on random planar maps: f
or every integer n\, we are given n deterministic
(even) integers and we sample a planar map uniform
ly at random amongst those maps with n faces and
these prescribed degrees. Under a `no macroscopic
face'\; assumption\, these maps converge in di
stribution after suitable scaling towards the cele
brated Brownian map\, in the Gromov-Hausdorff-Pro
khorov sense. This model covers that of p-angulati
ons when all the integers are equal to some p\, w
hich we can allow to vary with n\, without constra
int\; it also applies to so-called Boltzmann rando
m maps and yields a CLT for planar maps.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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