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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
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
