Departmental Seminar

Self-avoiding walks and discrete complex analysis

Jan De Gier
Friday 8 June 2012 4pm
John Dedman G35

Speaker: Jan De Gier

Affiliation: University of Melbourne



In 2010 the asymptotic number of self-avoiding walks on the honeycomb lattice was rigorously proved to be $\sqrt{2+\sqrt{2}}$,

a value conjectured by physicist Nienhuis in 1982. The proof, by Smirnov and Duminil-Copin, uses simple and elegant ideas from

discrete complex analysis. This talk will explain some of the underlying ideas of this result and possible extension.


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