Iterated Function System and Ruelle Operator
β Scribed by Ai Hua Fan; Ka-Sing Lau
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 177 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We consider a recurrent IFS with place-dependent transition weights. By using the quasi-compact operator theory and the spectral theory of positive operators, the eigen-problem of the given system is studied. This is the vector analogue of Fan Ε½ .
## Abstract We examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the wellβknown case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of
## Abstract Let {__S~i~__} be an iterated function system (IFS) on β^__d__^ with attractor __K__. Let (Ξ£, Ο) denote the oneβsided full shift over the alphabet {1, β¦, π}. We define the projection entropy function __h__~Ο~ on the space of invariant measures on Ξ£ associated with the coding map Ο : Ξ£ β