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Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks

Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks

Abstract A system of interacting multi-class finite-state jump processes is analyzed. The model under consideration consists of a block-structured network with dynamically changing multi-color nodes. The interactions are local and described through local empirical measures. Two levels of heterogeneity are considered: between and within the blocks where the nodes are …