Bond Percolation on Isoradial Graphs

Stochastic Analysis Seminar Series

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


Ioan Manolescu (University of Geneva and Cambridge)

Monday, March 4, 2013 - 14:15
to 15:15