- 03-430 Blanchard Ph., Gandolfo D., Ruiz J., Shlosman S.
- On the Euler--Poincar\'e Characteristic of the Random Cluster Model
Sep 18, 03
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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.