Ruelle operator for infinite conformal iterated function systems
โ Scribed by Xiao-Peng Chen; Li-Yan Wu; Yuan-Ling Ye
- Book ID
- 118428711
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 311 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0960-0779
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๐ 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 We examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the wellโknown case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of