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14th Northwest Probability Seminar - The star-triangle transformation in probability theory

Speaker  Geoffrey Grimmett

Affiliation  Cambridge University

Host  David Wilson

Duration  00:51:16

Date recorded  13 October 2012

The star-triangle transformation was `discovered' in 1899. It has since become one of the basic tools for studying disordered systems in two dimensions, and it is known amongst physicists as the `Yang-Baxter equation'. We shall explain its harmony with de Bruijn's theory of tilings and isoradial graphs, as developed by Kenyon and co-authors. Then we outline its use in proving universality for percolation in two dimensions.

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> 14th Northwest Probability Seminar - The star-triangle transformation in probability theory