Abstract

Discrete Math Seminar Fall 2008

Higher correlation inequalities

Derek Boeckner, UNL; Nov 18

Siddhartha Sahi proved 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. Sahi also conjectured that the results hold in greater generality.