For diagonally aligned self-affine carpets with weak separation on axis projections, Hausdorff dimension equals the limit of the Barański formula and box-counting dimension equals the limit of the Feng-Wang formula over n-fold IFS compositions.
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Weakly separated self-affine carpets
For diagonally aligned self-affine carpets with weak separation on axis projections, Hausdorff dimension equals the limit of the Barański formula and box-counting dimension equals the limit of the Feng-Wang formula over n-fold IFS compositions.