Random planar graphs - results and conjectures
VIENNA PROBABILITY SEMINAR
Date
Tuesday, November 10, 2020 16:30 - 17:15
Speaker
Benedikt Stufler (TU Wien)
Location
Online via Zoom
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli
Contact
We study the asymptotic local shape of a graph drawn uniformly at random from all connected simple planar graphs with n labelled vertices. Our main result describes how a uniform infinite planar graph (UIPG) arises as quenched limit in the local topology as n tends to infinity. We comment on selected related open questions and conjectures.