14th Northwest Probability Seminar - Recurrence of planar graph limits.

Speaker  Asaf Nachmias

Affiliation  University of British Columbia

Host  David Wilson

Duration  00:39:21

Date recorded  13 October 2012

We prove that any distributional limit of finite planar graphs in which the degree of the root has an exponential tail is almost surely recurrent. As a corollary, we obtain that the uniform infinite planar triangulation and quadrangulation (UIPT and UIPQ) are almost surely recurrent, resolving a conjecture of Angel, Benjamini and Schramm.

Joint work with Ori Gurel-Gurevich.

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> 14th Northwest Probability Seminar - Recurrence of planar graph limits.