Marshall University Math Colloquium

March 7, 2012

“Percolation Models”

Matthew Sedlock

Johns Hopkins University

Abstract

I will extend a previous result on the range of directions for which equality of the directional critical exponents $\beta$ can be established in inhomogeneous percolation models. In particular, I show that by looking at a certain, larger subgraph of the square lattice, we can increase the range of directions for which equality can be shown from a quadrant to a region larger than a quadrant.