Metric attractors for smooth unimodal maps
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| Title: | Metric attractors for smooth unimodal maps |
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| Authors: | Grzegorz Świątek, Jacek Graczyk, Duncan Sands |
| Source: | Annals of Mathematics. 159:725-740 |
| Publication Status: | Preprint |
| Publisher Information: | Annals of Mathematics, 2004. |
| Publication Year: | 2004 |
| Subject Terms: | Schwarzian derivative, Milnor's problem, quadratic critical point, Attractors and repellers of smooth dynamical systems and their topological structure, Dynamical Systems (math.DS), 01 natural sciences, smooth unimodal maps, Dynamical systems involving maps of the interval, metric attractor, decay of geometry, 37E05 (Primary) 37C70, 37D45 (Secondary), 0103 physical sciences, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics |
| Description: | We classify the measure theoretic attractors of general C^3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry. 16 pages, published version |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 0003-486X |
| DOI: | 10.4007/annals.2004.159.725 |
| DOI: | 10.48550/arxiv.math/0601125 |
| Access URL: | http://annals.math.princeton.edu/wp-content/uploads/annals-v159-n2-p05.pdf http://arxiv.org/abs/math/0601125 https://dialnet.unirioja.es/servlet/articulo?codigo=983605 http://annals.math.princeton.edu/wp-content/uploads/annals-v159-n2-p05.pdf http://annals.math.princeton.edu/2004/159-2/p05 |
| Rights: | arXiv Non-Exclusive Distribution |
| Accession Number: | edsair.doi.dedup.....aaa0430b4dd558e35a08099ab18595c5 |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | We classify the measure theoretic attractors of general C^3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.<br />16 pages, published version |
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| ISSN: | 0003486X |
| DOI: | 10.4007/annals.2004.159.725 |