Bond Percolation on Isoradial Graphs

4 March 2013
14:15
IOAN MANOLESCU
Abstract
The star-triangle transformation is used to obtain an equivalence extending over a set bond percolation models on isoradial graphs. Amongst the consequences are box-crossing (RSW) inequalities and the universality of alternating arms exponents (assuming they exist) for such models, under some conditions. In particular this implies criticality for these models. (joint with Geoffrey Grimmett)
  • Stochastic Analysis Seminar