We prove that if μ is a self-affine measure in the plane whose defining IFS acts totally irreducibly on RP^1 and satisfies an exponential separation condition, then its dimension is equal to its Lyapunov dimension.We also treat a class of reducible systems. This extends our previous work on the subject with Bárány to the overlapping case.
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Hochman et al. (2021) studied this question.
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