Proceedings of the National Academy of Sciences of the United States of America, Vol. 93, No. 26 (Dec. 24, 1996), pp. 15004-15008 (5 pages) In this paper, we give two infinite families of explicit ...
We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...
Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. How are prime numbers distributed in the integers? Are there ...
Author Nick Sullivan worked for six years at Apple on many of its most important cryptography efforts before recently joining CloudFlare, where he is a systems engineer. He has a degree in mathematics ...