Preprint: Convergence of a stochastic particle system to the continuous generalized exchange-driven growth model

27 March 2025

Together with Chun Yin Lam, we study the continuous generalized exchange-driven growth model (CGEDG) is a system of integro-differential equations describing the evolution of cluster mass under mass exchange. The rate of exchange depends on the masses of the clusters involved and the mass being exchanged. This can be viewed as both a continuous generalization of the exchange-driven growth model and a coagulation-fragmentation equation that generalizes the continuous Smoluchowski equation.

Illustration of the convergence of the discrete exchangre-driven growth model ot its continuous counterpart.

Now published in Electron. J. Probab. 31(50), 1-29 (2026).

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