Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, December 20, 2010

Schreiber 006, 12:15

Asaf Nachmias

Massachusetts Institute of Technology

Arm exponents in high-dimensional percolation

Abstract: 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}.

Joint work with Gady Kozma.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006