Random walk on random planar maps I

Duration: 52 mins 41 secs
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Description: Miller, J
Monday 9th July 2018 - 11:15 to 12:15
 
Created: 2018-07-10 13:19
Collection: RGM follow up
Publisher: Isaac Newton Institute
Copyright: Miller, J
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
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Trailer: UCS Default
 
Abstract: 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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