The circle packing of random hyperbolic triangulations

12 juin 2015, 15:15
45m
Invited talk

Orateur

Asaf Nachmias (University of British Columbia and Tel Aviv University)

Description

We study random hyperbolic planar triangulations via their circle packing embedding in order to connect their geometry to that of the hyperbolic plane. This leads to several results: Identification of the Poisson and geometric boundaries, a connection between hyperbolicity and a form of non-amenability, and a new proof of the Benjamini-Schramm recurrence result. Based on works with subsets of Omer Angel, Martin Barlow, Ori Gurel-Gurevich, Tom Hutchcroft and Gourab Ray.

Auteur principal

Asaf Nachmias (University of British Columbia and Tel Aviv University)

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