Martin Barlow (University of British Columbia, Canada)
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PDL C-401
Abstract: I will discuss the random walk on the uniform spanning tree (UST) in Z^2, and in particular its transition probabilities or heat kernel. Of particular interest is how random fluctuations in the environment, that is the UST, affect the heat kernel. I will compare what is known for this random object with supercritical percolation, and with Liouville Brownian motion.
This is joint work with Takashi Kumagai and David Croydon.