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math.DS2019★ 12 cited
Dimension of ergodic measures projected onto self-similar sets with overlaps
Thomas Jordan, Ariel Rapaport
For self-similar sets on satisfying the exponential separation condition we show that the natural projections of shift invariant ergodic measures is equal to $\min\{1,…
math.DS2019★ 1 cited
Hausdorff Dimension of Planar Self-Affine Sets and Measures with Overlaps
Michael Hochman, Ariel Rapaport
We prove that if is a self-affine measure in the plane whose defining IFS acts totally irreducibly on and satisfies an exponential separation condition, then it…