Seminar series
Date
Mon, 10 Nov 2008
14:15
14:15
Location
Oxford-Man Institute
Speaker
Dr. Antal Jarai
Organisation
Bath
The uniform spanning forest (USF) in a graph
is a random spanning forest obtained as the limit of uniformly chosen spanning
trees on finite subgraphs. The USF is known to have stochastic dimension 4 on
graphs that are "at least 4 dimensional" in a certain sense. In this
talk I will look at more detailed estimates on the geometry of a fixed
component of the USF in the special case of the d-dimensional integer lattice,
d > 4. This is motivated in part by the study of random walk restricted to a
fixed component of the USF.