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Recurrence of planar graph limits
If you have a question about this talk, please contact neb25.
We will show that any distributional limit of finite planar graphs in which the degree of the root decays exponentially is almost surely recurrent. As a corollary, we obtain that the uniform infinite planar triangulation/quadrangulation (UIPT/UIPQ) are almost surely recurrent, resolving conjectures of Angel, Benjamini and Schramm. Joint work with Asaf Nachmias.
This talk is part of the Probability series.
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