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D/A Converters and Iterated Function Systems

✍ Scribed by Toshimichi Saito; Junya Shimakawa; Hiroyuki Torikai

Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
242 KB
Volume
44
Category
Article
ISSN
0924-090X

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## Abstract We examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well‐known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of

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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 →