BEGIN:VCALENDAR
VERSION:2.0
PRODID:talks.ox.ac.uk
BEGIN:VEVENT
SUMMARY:Pattern Occurrence Counts in Random Planar Maps - Michael Drmota (
TU Wien)
DTSTART;VALUE=DATE-TIME:20230123T140000Z
DTEND;VALUE=DATE-TIME:20230123T150000Z
UID:https://talks.ox.ac.uk/talks/id/7b1dd95f-4f16-4cbf-93d6-aad7952bbbef/
DESCRIPTION:Random planar maps have been studied from various aspects duri
ng the last 15 or 20 years\, including various limiting distributions for
several parameters of interest (such as the largest 2-connected component)
and local Benjamini-Schramm limits as well as scaling limits. A pattern i
s a given planar map and we say that it appears in another map if it could
be "cut out" just leaving a face. The simplest pattern is just a k-gon. I
t directly follows from the Benjamini-Schramm limit that the expected numb
er of occurrences of a given pattern is asymptotically linear in the numbe
r of edges of the random map. However\, it is a challenging problem to pro
vide a more precise limit law. The purpose of this talk is to give a surve
y on the results and methods that have used so far in order to settle this
question. It is conjectured that there is always a central limit theorem
- and all results so far support this conjecture.\nSpeakers:\nMichael Drmo
ta (TU Wien)
LOCATION:Mathematical Institute (L3)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/7b1dd95f-4f16-4cbf-93d6-aad7952bbbef/
BEGIN:VALARM
ACTION:display
DESCRIPTION:Talk:Pattern Occurrence Counts in Random Planar Maps - Michael
Drmota (TU Wien)
TRIGGER:-PT1H
END:VALARM
END:VEVENT
END:VCALENDAR