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: 

pims