Many random perturbations of a maximal-density sandpile yield a toppling-function scaling limit governed by the Monge-Ampère equation, with SL2(R) covariance and explicit density-deviation estimates.
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Symmetry Emergence in Self-Organized Criticality
Many random perturbations of a maximal-density sandpile yield a toppling-function scaling limit governed by the Monge-Ampère equation, with SL2(R) covariance and explicit density-deviation estimates.