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

Sponsor: 

pims