Proves relativised variational principle for weighted topological entropy and computes Hausdorff dimension of random intersections of Bedford-McMullen carpets, extending Kenyon-Peres to self-affine sets.
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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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Weighted topological entropy and intersecting random translates of Bedford--McMullen carpets
Proves relativised variational principle for weighted topological entropy and computes Hausdorff dimension of random intersections of Bedford-McMullen carpets, extending Kenyon-Peres to self-affine sets.
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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.