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CATEGORIES:Probability
SUMMARY:Subsequential limits for Liouville graph distance
- Alex Dunlap (Stanford)
DTSTART;TZID=Europe/London:20190226T140000
DTEND;TZID=Europe/London:20190226T150000
UID:TALK120253AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/120253
DESCRIPTION:Liouville quantum gravity (LQG) is a natural model
for a two-dimensional continuum random geometry.
It originated from work on string theory and confo
rmal field theory in the 1980s. In the past decade
\, LQG has been rigorously understood as a random
measure on a two-dimensional surface\, by taking a
limit of measures on suitable smooth approximatio
ns. However\, only at a single special temperature
has a metric space structure for LQG been constru
cted. I will discuss recent work on the tightness
of a sequence of natural discretized LQG metrics\,
the subsequential limits of which thus form natur
al candidates for a continuum metric for LQG. This
is joint work with Jian Ding.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:Perla Sousi
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