ABSTRACT
The mean field Feynman-Kac models presented in Section 1.5.5 can be interpreted as genetic type particle models, with mutation-selection transitions.
The mutation process is defined in terms of abstract Markov transitions on measurable state spaces that may depend on the time parameter. This rather abstract framework encapsulates random excursion models between level subsets, Markov bridges, and other classes of historical type processes. Some illustrations of these path space models are presented in Section 1.1.2. We also refer to the construction of continuous models (1.46) presented in Section 1.4.3, and the discussion of historical processes given in Section 1.4.3.1.
