Dimension of homogeneous iterated function systems with algebraic translations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let μ$ \mu$ be the self‐similar measure associated with a homogeneous iterated function system Φ={λx+tj}j=1m$ \Phi = \lbrace \lambda x + t_j \rbrace _{j=1}^m$ on R$\mathbb {R}$ and a probability vector (pj)j=1m$ (p_{j})_{j=1}^m$, where 0≠λ∈(−1,1)$0\ne \lambda \in (-1,1)$ and tj∈R$t_j\in \mathbb {R}$.
De‐Jun Feng, Zhou Feng
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