Replica-mean-field limits of fragmentation-interaction-aggregation processes
Replica-mean-field limits of fragmentation-interaction-aggregation processes
Abstract Network dynamics with point-process-based interactions are of paramount modeling interest. Unfortunately, most relevant dynamics involve complex graphs of interactions for which an exact computational treatment is impossible. To circumvent this difficulty, the replica-mean-field approach focuses on randomly interacting replicas of the networks of interest. In the limit of an …