Random walk on the incipient infinite cluster for oriented percolation
- Date: 04/18/2007
Lecturer(s):
Gordon Slade (UBC)
Location:
University of British Columbia
Topic:
We consider simple random walk on the incipient infinite cluster for
the spread-out model of oriented percolation in d spatial dimensions
and one time dimension. For d>6, we obtain bounds on exit times,
transition probabilities, and the range of the random walk, which
establish that the spectral dimension of the incipient infinite cluster
is 4/3, and thereby prove a version of the Alexander--Orbach conjecture
in this setting.
Other Information:
Probability Seminar 2007
Sponsor:
