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Heat kernel on the uniform spanning tree in two dimension

Martin Barlow (University of British Columbia, Canada)
Monday, November 26, 2018 - 2:30pm to 3:30pm
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.

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