On the Euler-Poincaré Characteristic of the Random Cluster ModelReport as inadecuate




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Abstract : Recent results concerning the topological properties of random geometrical sets have been successfully applied to the study of the morphology of clusters in percolation theory. We present here new results about the behaviour of the Euler characteristic of the clusters of the Fortuin-Kasteleyn random cluster measure.

Keywords : Alexander duality Phase transitions Euler-Poincaré characteristic Fortuin-Kasteleyn representation





Author: Philippe Blanchard Daniel Gandolfo Jean Ruiz Senya Shlosman

Source: https://hal.archives-ouvertes.fr/



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