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Random planar graphs - results and conjectures


Date: Tuesday, November 10, 2020 16:30 - 17:15
Speaker: Benedikt Stufler (TU Wien)
Location: Online via Zoom
Series: Mathematics and CS Seminar
Host: M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli

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.

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