Lubell mass (source code)

= Lubell mass
{title2=$\lambda(\mathcal A)$}

The Lubell mass of a set family $\mathcal A\subseteq\mathcal P([n])$ is
$$
\lambda(\mathcal A)=\sum_{A\in\mathcal A}\binom n{|A|}^{-1}.
$$
It is the <expected value> of the number of members of $\mathcal A$ on a <Uniformly random maximal chain in a Boolean lattice>.