Higher correlation inequalities |
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Authors: | Siddhartha Sahi |
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Affiliation: | (1) Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA |
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Abstract: | We prove a correlation inequality for n increasing functions on a distributive lattice, which for n = 2 reduces to a special case of the FKG inequality. The key new idea is to reformulate the inequalities for all n into a single positivity statement in the ring of formal power series. We also conjecture that our results hold in greater generality. |
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Keywords: | 05A20 26D07 60E15 82B20 |
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