Rescaled generalized Derrida-Retaux dynamics converge in Skorokhod space to a continuous-time process whose semigroup, generator, and martingale problem are characterized.
and Kurtz, T.G.: Markov Processes: Characterization and Convergence
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Derrida-Retaux type models and related scaling limit theorems
Rescaled generalized Derrida-Retaux dynamics converge in Skorokhod space to a continuous-time process whose semigroup, generator, and martingale problem are characterized.