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Rothschild Lecture: Random rubber bands

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SRQ - Scaling limits, rough paths, quantum field theory

A “rubber band” constrained to remain on a manifold evolves by trying to shorten its length, eventually settling on a closed geodesic, or collapsing entirely. It is natural to try to consider a noisy version of such a model where each segment of the band gets pulled in random directions. Trying to build such a model turns out to be surprisingly difficult and generates a number of nice insights, as well as some beautiful algebraic and analytical objects. We will survey some of the main results obtained on the way to this construction.

This talk is part of the Isaac Newton Institute Seminar Series series.

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