The existing literature about innovation processes focuses on a single process at a time and proposes models and tools in order to characterize how novelties arise, diffuse and initiate further novelties inside the considered process. However, it is doubtless important to understand if and how different innovation processes influence each other. 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.

翻译：现有关于创新过程的文献通常聚焦于单一过程，并提出了一系列模型与工具，用以描述新事物如何在所研究的过程中产生、扩散并引发进一步的创新。然而，理解不同创新过程之间是否以及如何相互影响无疑具有重要意义。在本工作中，我们引入了一个极具普适性的创新过程集合模型，旨在建模并分析这些过程之间的相互作用。我们提供了经过分析证明的理论结果，并展示了所提出的模型如何拟合从Reddit和Gutenberg等真实数据集中观察到的行为。需要指出的是，所给出的应用实例仅是该模型及其相关结果潜力的部分体现；由于其抽象性与通用性，该模型可适用于众多交互式创新过程。