# Statistical Laboratory

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.

## Frontpage talks

19
Oct
Probability

Cambridge Statistics Clinic

Probability

29
Oct
16:00 - 17:00: MARS via LASSO
Statistics

Probability

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

## Venue:

MR12 Centre for Mathematical Sciences

## Speaker:

Martin Barlow (UBC)

Probability