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math.DS2024
Exact Hausdorff dimension of some sofic self-affine fractals
Nima Alibabaei
Previous work has shown that the Hausdorff dimension of sofic affine-invariant sets is expressed as a limit involving intricate matrix products. This limit has typically been regar…
math.DS2024
Improved dimension theory of sofic self-affine fractals
Nima Alibabaei
Follow-up comment by the author: Theorem 2.2 in this paper is a special case of Theorems 1.1 and 4.1 in the article "Weighted thermodynamic formalism on subshifts and applications"…