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Percolation on self-dual polygon configurations

Abstract:

Recently, Scullard and Ziff noticed that a broad class of planar percolation models are self-dual under a simple condition that, in a parametrized version of such a model, reduces to a single equation. They state that the solution of the resulting equation gives the critical point. However, just as in the classical case of bond percolation on the square lattice, self-duality is simply the starting point: the mathematical difficulty is precisely showing that self-duality implies criticality. H...

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Publisher copy:
10.1007/978-3-642-14444-8_3
Publication date:
2010-01-26
DOI:
Keywords:
Pubs id:
pubs:146845
UUID:
uuid:61ddbb43-6578-4e44-b362-b5ca2fe38715
Local pid:
pubs:146845
Source identifiers:
146845
Deposit date:
2013-02-20

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