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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
DOI: 10.1007/bf02925242

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## 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 →