Diophantine Analysis of Conformal Iterated Function Systems
✍ Scribed by Mariusz Urbański
- Book ID
- 106198147
- Publisher
- Springer Vienna
- Year
- 2002
- Tongue
- English
- Weight
- 138 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0026-9255
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📜 SIMILAR VOLUMES
In this paper we deal with the problem of porosity of limit sets of conformal (infinite) iterated function systems. We provide a necessary and sufficient condition for the limit sets of these systems to be porous. We pay special attention to the systems generated by continued fractions with restrict
## 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 →