Average fluctuations of IDLA on V_N × ℤ converge to the GFF for any vertex-transitive V_N satisfying an eigenvalue convergence condition, with improved maximal fluctuation bounds implying a shape theorem.
On the fluctuations of internal DLA on the S ierpinski gasket graph
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Gaussian fluctuations for Internal DLA on cylinders
Average fluctuations of IDLA on V_N × ℤ converge to the GFF for any vertex-transitive V_N satisfying an eigenvalue convergence condition, with improved maximal fluctuation bounds implying a shape theorem.