A semigroup approach to the four functions theorem on the discrete hypercube

Laurent Veysseire (1)

1 Ministère de l'Éducation nationale

In this paper, we prove a semigroup version of the Ahlswede–Daykin four functions theorem on the discrete hypercube, and of its generalization to 2n functions.

Mots clés: functional inequalities; discrete geometry

Domaines: Probabilités [math.PR]

Laurent Veysseire. A semigroup approach to the four functions theorem on the discrete hypercube. 2017. ⟨hal-01522240⟩