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Iteration theory and its functional equations

✍ Scribed by Targonski, György


Publisher
Springer-Verlag
Year
1988
Weight
621 KB
Volume
58
Category
Article
ISSN
0370-7377

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Dimension theory of iterated function sy
✍ De-Jun Feng; Huyi Hu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 463 KB

## Abstract Let {__S~i~__} be an iterated function system (IFS) on ℝ^__d__^ with attractor __K__. Let (Σ, σ) denote the one‐sided full shift over the alphabet {1, …, 𝓁}. We define the projection entropy function __h__~π~ on the space of invariant measures on Σ associated with the coding map π : Σ →