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

 

Abstract: 

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.

 

Updated:  17 August 2017/ Responsible Officer:  Head of Department/ Page Contact:  Physics Webmaster