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PrerequisiteMeasure Theory, Probability (Martingales)AbstractLaplacian growth is the study of interfaces that move in proportion to harmonic measure. We survey progress over the last decade on discrete models of (internal) Laplacian growth, including the abelian sandpile, internal DLA (first analyzed by Lawler, Bramson and Griffeath in 1992), rotor aggregation, and the scaling limits of these m...