Quenched and annealed heat kernels on the uniform spanning tree

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.

• Speaker: Martin Barlow (UBC)
• Tuesday 19 October 2021, 14:00–15:00
• Venue: MR12 Centre for Mathematical Sciences.
• Series: Probability; organiser: Jason Miller.