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Large-scale complex infrastructures are emerging as new computing platforms for the federation of world-wide mission critical systems over the Internet. However, standard approaches to data dissemination are still not adequate to the scale of these systems. The best-effort delivery guarantees of the Internet and the occurrence of node failures may compromise the correct and timely delivery of data, and hence the mission of the overall infrastructure. This paper presents a peer-to-peer approach for resilient and scalable data dissemination over large-scale complex critical infrastructures. The approach is based on the adoption of epidemic dissemination algorithms between peer groups, combined with the semi-active replication of group leaders. The effectiveness of the approach is shown by means of extensive simulation experiments, based on Stochastic Activity Networks. Results demonstrate that the use of epidemic algorithms over peer-to-peer overlays can achieve a 5 nines (99.999%) resiliency level, compared to the 3 nines (99.9%) of the standard solution.