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· 2023

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math.DS 1

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Weakly separated self-affine carpets

math.DS · 2025-06-07 · unverdicted · novelty 7.0

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 math.DS · 2025-06-07 · unverdicted · none · ref 3

    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.