Heat kernel fluctuations for the three-dimensional uniform spanning tree
Heat kernel fluctuations have been observed in some random walks in random environments. In this talk, I will consider the three-dimensional uniform spanning tree (UST) as a random environment. I will first show the occurrence of log-logarithmic fluctuations around the leading order for the volume of intrinsic balls in the UST. This is then used to obtain similar fluctuations for the quenched heat kernel.
Date: 14 November 2022, 12:00 (Monday, 6th week, Michaelmas 2022)
Venue: Mathematical Institute, Woodstock Road OX2 6GG
Venue Details: L5
Speaker: Satomi Watanabe (Kyoto)
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Public
Editor: Christina Goldschmidt