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Department of Pure Mathematics and Mathematical Statistics

The uniform spanning tree (UST) on $Z^d$ was constructed by Pemantle
in 1991 as the limit of the UST on finite boxes $[-n,n]^2$.
In this talk I will discuss the form of the heat kernel (i.e.
random walk transition probability) on this random graph.
I will compare the bounds for the UST with those obtained earlier
for supercritical percolation.

This is joint work with Takashi Kumagai and David Croydon.

Further information

Time:

19Oct
Oct 19th 2021
14:00 to 15:00

Venue:

MR12 Centre for Mathematical Sciences

Speaker:

Martin Barlow (UBC)

Series:

Probability