William Faris

Cluster expansions give convergent expressions for measures on infinite dimensional spaces, such as those that occur in statistical mechanics. One approach to these convergence questions is via fixed points for infinite dimensional increasing...

This is an expository talk about the distributive law of algebra and its role in combinatorics, probability, and physics. The main idea is that one can run the distributive law either way, a process sometimes called re-summation. This extraordinarily...