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The continuous-time lace expansion and its applications

Mathematical Physics & Probability

Speaker: Tyler Helmuth, UC Berkeley
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Location: 2112 MSB
Start time: Wed, May 10 2017, 4:10PM

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.