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math.DS2024
On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets
Zhou Feng
Let be a compact subset of the -torus invariant under an expanding diagonal endomorphism with distinct eigenvalues. Suppose the symbolic coding of satisfies weak…
math.DS2024
Dimension of homogeneous iterated function systems with algebraic translations
De-Jun Feng, Zhou Feng
Let be the self-similar measure associated with a homogeneous iterated function system on and a probability vector ,…