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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. doi:10.1007/s00222-003-0343-2 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | INVENTIONES MATHEMATICAE | ||||
Publisher: | SPRINGER-VERLAG | ||||
ISSN: | 0020-9910 | ||||
Official Date: | May 2004 | ||||
Dates: |
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Volume: | 156 | ||||
Number: | 2 | ||||
Number of Pages: | 103 | ||||
Page Range: | pp. 301-403 | ||||
DOI: | 10.1007/s00222-003-0343-2 | ||||
Publication Status: | Published |
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