Mathematics Colloquium: Asaf Nachmias (MIT)
- Date: 01/12/2011
Lecturer(s):
Asaf Nachmias (Massachusetts Institute of Technology)
Location:
University of British Columbia
Topic:
Arm exponents in high-dimensional percolation
Description:
We study the probability that the origin is connected to the sphere of radius R in critical percolation in high dimensions, namely when the dimension d is a large fixed constant, or when d>6 and the lattice is sufficiently spread out. I will present highlights of the proof that this probability decays like R^{-2}. No knowledge of percolation will be assumed.
Joint work with Gady Kozma.
Schedule:
3:00pm-4:00pm, WMAX 110