%0 Journal Article %T Critical behavior in Ricci flow %A David Garfinkle %A James Isenberg %J Mathematics %D 2003 %I arXiv %X We use numerical techniques to study the formation of singularities in Ricci flow. Comparing the Ricci flows corresponding to a one parameter family of initial geometries on S^3 with varying amounts of S^2 neck pinching, we find critical behavior at the threshold of singularity formation. %U http://arxiv.org/abs/math/0306129v1