Co-authors: David Croydon (University of Warwick), Takashi Kumagai (RIMS, Kyoto)
The uniform spanning tree (UST) has played a major role in recent developments in probability. In particular the study of its scaling limit led to the discovery of SLE by Oded Schramm.
In this talk I will discuss the geometry of the UST in 2 dimensions, and what we can say about its scaling limit.
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