  We establish a complete picture of condensation in the inclusion process in
the thermodynamic limit with vanishing diffusion, covering all scaling regimes
of the diffusion parameter and including large deviation results for the
maximum occupation number. We make use of size-biased sampling to study the
structure of the condensed phase, which can extend over more than one lattice
site and exhibit an interesting hierarchical structure characterized by the
Poisson-Dirichlet distribution. While this approach is established in other
areas including population genetics or random permutations, we show that it
also provides a powerful tool to analyse homogeneous condensation in stochastic
particle systems with stationary product distributions. We discuss the main
mechanisms beyond inclusion processes that lead to the interesting structure of
the condensed phase, and the connection to other generic particle systems. Our
results are exact, and we present Monte-Carlo simulation data and recursive
numerics for partition functions to illustrate the main points.
