Criticality and universality in interacting systems

Start: 04/02/2014 - 4:15pm
End  : 04/02/2014 - 5:15pm


Geoffrey Grimmett, Downing College, University of Cambridge


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. (joint work with Ioan Manolescu)

Shanahan Center for Teaching and Learning, Shanahan B460 (basement level), Harvey Mudd College, 320 E. Foothill Blvd.

Grimmett.pdf106.11 KB

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