Bond Percolation on Isoradial Graphs
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If you have a question about this talk, please contact Marc Briant.
We present the topic of percolation on planar graphs, focusing on the
issue of universality.
We give a universality result for the canonical percolation models on
the so-called isoradial graphs. These are proved to be critical, to
satisfy box-crossing (RSW) inequalities and to have universal arms
exponents (assuming they exist). This is achieved by using the
star-triangle transformation to obtain an equivalence extending over a
set of bond percolation models on isoradial graphs.
The work is joint with Geoffrey Grimmett.
This talk is part of the Cambridge Analysts' Knowledge Exchange series.
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