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Random walk on random planar maps I

Presented by: 
Jason Miller
Monday 9th July 2018 - 11:15 to 12:15
INI Seminar Room 1
We will describe some recent developments on the study of random walks on random planar maps. We first review the continuum constructions from Liouville quantum gravity as a mating of trees. We will then explain how one can analyze the behavior of random walk on the mated-CRT map, a random planar map model defined out of the continuum tree-mating constructions. Finally, we will explain how these results can be transferred to a wide variety of discrete random planar map models. This is based on joint works with Bertrand Duplantier, Ewain Gwynne, and Scott Sheffield.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons