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Rothschild Lecture: Random rubber bands

Presented by: 
Martin Hairer Imperial College London
Date: 
Friday 28th September 2018 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons