  In this work, we introduce an extremely general model for a collection of
innovation processes in order to model and analyze the interaction among them.
We provide theoretical results, analytically proven, and we show how the
proposed model fits the behaviors observed in some real data sets (from Reddit
and Gutenberg). It is worth mentioning that the given applications are only
examples of the potentialities of the proposed model and related results: due
to its abstractness and generality, it can be applied to many interacting
innovation processes.
