For finite-type inhomogeneous random graphs, component-density fluctuations converge to a Gaussian process solving an explicit infinite-dimensional SDE, yielding CLTs for the giant component and MST weight.
J Aldous, Deterministic and stochastic models for coalescence (aggr egation and coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999), no
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Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs
For finite-type inhomogeneous random graphs, component-density fluctuations converge to a Gaussian process solving an explicit infinite-dimensional SDE, yielding CLTs for the giant component and MST weight.