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Article
A Note on the Spectrality of Moran-Type Bernoulli Convolutions by Deng and Li
Let \(\{p_n\}_{n\ge 1}\) { ...
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Article
The Orthogonal Bases of Exponential Functions Based on Moran-Sierpinski Measures
Let An ∈ M2 (ℤ) be integral matrices such that the infinite convolution of Dirac measures with equal weights
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Article
A note on Hata’s tree-like sets
For the iterated function system (IFS in short) according to Hata’s tree-like set, the following questions are studied: (i) Under which conditions will the IFS satisfy the post-critically finite property? (ii)...
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Article
Spectrality of Moran-Type Bernoulli Convolutions
Let \(p_n,\ d_n\in {{\mathbb {Z}}}\) p n ...
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Article
Multifractal formalism for self-affine measures with overlaps
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the L q -spectrum τ(q) is differentiable for all q > 0. ...