Mean-field and fluctuations for hub dynamics in heterogeneous random
networks
Mean-field and fluctuations for hub dynamics in heterogeneous random
networks
In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize the hub behavior as the mean-field, subject to statistically controlled fluctuations. In particular, we prove that the fluctuations are small over exponentially long …