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On the metric properties of multimodal interval maps and C-2 density of Axiom A
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UNSPECIFIED. (2004) On the metric properties of multimodal interval maps and C-2 density of Axiom A. INVENTIONES MATHEMATICAE, 156 (2). pp. 301-403. ISSN 0020-9910
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Official URL: http://dx.doi.org/10.1007/s00222-003-0343-2
Abstract
In this paper, we shall prove that Axiom A maps are dense in the space of C-2 interval maps (endowed with the C-2 topology). As a step of the proof, we shall prove real and complex a priori bounds for (first return maps to certain small neighborhoods of the critical points of) real analytic multimodal interval maps with non-degenerate critical points. We shall also discuss rigidity for interval maps without large bounds.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | INVENTIONES MATHEMATICAE |
| Publisher: | SPRINGER-VERLAG |
| ISSN: | 0020-9910 |
| Date: | May 2004 |
| Volume: | 156 |
| Number: | 2 |
| Number of Pages: | 103 |
| Page Range: | pp. 301-403 |
| Identification Number: | 10.1007/s00222-003-0343-2 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8556 |
Data sourced from Thomson Reuters' Web of Knowledge
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