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A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type
| File | Description | Size | Format | |
|---|---|---|---|---|
 Inventiones mathematicae_2015.pdf | Accepted version | 775.84 kB | Adobe PDF | View/Open |
| Title: | A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type |
| Authors: | Cheraghi, D Chéritat, A |
| Item Type: | Journal Article |
| Abstract: | Marmi Moussa and Yoccoz conjectured that some error function Upsilon, related to the approximation of the size of Siegel disk by some arithmetic function of the rotation number theta, is a Holder continuous function of theta with exponent 1/2. Using the renormalization invariant class of Inou and Shishikura, we prove this conjecture for the restriction of Upsilon to a class of high type numbers. |
| Issue Date: | 1-Nov-2015 |
| Date of Acceptance: | 14-Dec-2014 |
| URI: | http://hdl.handle.net/10044/1/19580 |
| DOI: | 10.1007/s00222-014-0576-2 |
| ISSN: | 0020-9910 |
| Publisher: | Springer Verlag |
| Start Page: | 677 |
| End Page: | 742 |
| Journal / Book Title: | Inventiones Mathematicae |
| Volume: | 202 |
| Copyright Statement: | © 2015, Springer-Verlag Berlin Heidelberg. The final publication is available at Springer via http://dx.doi.org/10.1007/s00222-014-0576-2 |
| Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | EP/M01746X/1 |
| Keywords: | Science & Technology Physical Sciences Mathematics QUADRATIC SIEGEL DISKS BRJUNO FUNCTIONS JULIA SETS SIZE math.DS math.DS math-ph math.MP 37F25 (Primary) 58D25 (Secondary) math.DS math.DS math-ph math.MP Primary 37F50, Secondary 35J60, 30E20, 11A55 0101 Pure Mathematics General Mathematics |
| Notes: | 66 pages, |
| Publication Status: | Published |
| Online Publication Date: | 2015-01-13 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |