About topological invariants and statistical mechanics

D. Gandolfo

Physica A: Statistical Mechanics and its Applications, 2005, vol. 358, issue 1, 22-29

Abstract: A short introduction on topological properties of (regular and random) geometrical sets is presented along with some recent results concerning the behaviour of the Euler–Poincaré characteristic with respect to the (Fortuin–Kasteleyn) random cluster measure.

Keywords: Topological invariants; Euler–Poincaré characteristic; Fortuin–Kasteleyn representation; Alexander duality; Phase transitions (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:358:y:2005:i:1:p:22-29

DOI: 10.1016/j.physa.2005.06.003

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