Submodular or supermodular increasing Boolean functions on the hypercube obey E[fg] - E[f]E[g] >= (1/4) sum Inf_i[f] Inf_i[g] with optimal constant 1/4, plus a real-valued extension and verification of a spectral conjecture.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2025 2representative citing papers
citing papers explorer
-
Talagrand-Type Correlation Inequalities for Submodular and Supermodular Functions on the Hypercube
Submodular or supermodular increasing Boolean functions on the hypercube obey E[fg] - E[f]E[g] >= (1/4) sum Inf_i[f] Inf_i[g] with optimal constant 1/4, plus a real-valued extension and verification of a spectral conjecture.
- Higher-order derivatives of first-passage percolation with respect to the environment