2 research outputs found
Asymptotic estimates for double-coverings
A collection of finite sets is said to be a
double-covering if each is included in exactly two
sets of the collection. For fixed integers and , let be the
number of equivalency classes of double-coverings with ,
. We characterize the asymptotic behavior of the quantity
as . The results are applied to give an alternative
approach to the Bonami-Kiener hypercontraction inequality.Comment: 19 page