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math.CA2025
From Lipschitz embedding to Lipschitz equivalence between dust-like self-similar sets
Huo-Jun Ruan, Jian-Ci Xiao
Let be two dust-like self-similar sets sharing the same Hausdorff dimension. We consider when the mere existence of a Lipschitz embedding from to a…
math.CA2023
Box dimension of generalized affine fractal interpolation functions (II)
Lai Jiang, Huo-Jun Ruan
Let be a generalized affine fractal interpolation function with vertical scaling functions. In this paper, we prove the monotonicity of spectral radii of vertical scaling matri…