James: Random partition structures, Poisson Process Calculus, and Bayesian models This talk discussses the role of random partition structures in the posterior analysis of random probability measures and more general random measures which may arise within the context of Bayesian non-parametric models and spatial modelling. I will highlight the central role of the Poisson process. As an example I will discuss some connections to the Dirichlet process, Ewens sampling formula and Jim Pitman's two-parameter Poisson-Dirichlet process and partition distribution.