13 citations · 14 across the 3 of their papers we have counts for
3 papers
math.PR2023
Replica-mean-field limit of continuous-time fragmentation-interaction-aggregation processes
Michel Davydov
Many phenomena can be modeled as network dynamics with punctuate interactions. However, most relevant dynamics do not allow for computational tractability. To circumvent this diffi…
math.PR2022★ 1 cited
Propagation of chaos and Poisson Hypothesis for replica mean-field models of intensity-based neural networks
Michel Davydov
Neural computations arising from myriads of interactions between spiking neurons can be modeled as network dynamics with punctuate interactions. However, most relevant dynamics do…
math.PR2020★ 13 cited
Replica-Mean-Field Limits of Fragmentation-Interaction-Aggregation Processes
François Baccelli, Michel Davydov, Thibaud Taillefumier
Network dynamics with point-process-based interactions are of paramount modeling interest. Unfortunately, most relevant dynamics involve complex graphs of interactions for which an…