The continuous-time lace expansion and its applications
Seminar | May 3 | 3:10-4 p.m. | 1011 Evans Hall
Tyler Helmuth, U.C. Berkeley Mathematics
The lace expansion is one of the primary tools for proving that probability models in high dimensions have mean field behaviour. I will explain the previous sentence by describing joint work in progress with David Brydges and Mark Holmes in which we develop a continuous time lace expansion. Our method allows us to analyze n-component field theories when n is zero, one, or two. The case n=2 is new.