C. M. Fortuin 2026-11-05
C. M. Fortuin coauthored the FKG inequality with P. W. Kasteleyn and J. Ginibre. The theorem makes a precise sufficient condition for increasing observables to be positively correlated. Its applications include Ising models and the random-cluster model, connecting ordered probability spaces with statistical mechanics.[ref]
Communications in Mathematical Physics 22, 89–103. DOI: doi.org/10.1007/BF01651330 . Publisher abstract: positive association for increasing functions on finite distributive lattices under the mass convexity condition; applications to Ising and random-cluster models. Full PDF access was unavailable; no unverified theorem numbering is supplied.
J. Ginibre 2026-11-05
J. Ginibre coauthored the FKG inequality with C. M. Fortuin and P. W. Kasteleyn. They proved positive correlation of increasing functions on a finite distributive lattice under a condition on its probability weights, with applications to Ising models and the random-cluster model.[ref]
Physica 57, 536–564. Leiden institutional publication record: www.lorentz.leidenuniv.nl/IL-publications/1972.html .