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Combinatorial rigidity for some infinitely renormalizable unicritical polynomials
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Cheraghi, Davoud (2010) Combinatorial rigidity for some infinitely renormalizable unicritical polynomials. Conformal Geometry and Dynamics, Vol.14 (No.13). pp. 219-255. doi:10.1090/S1088-4173-2010-00216-X ISSN 1088-4173.
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Official URL: http://dx.doi.org/10.1090/S1088-4173-2010-00216-X
Abstract
Here we prove that infinitely renormalizable unicritical polynomials , with , satisfying a priori bounds and a certain ``combinatorial'' condition are combinatorially rigid. This implies the local connectivity of the connectedness loci (the Mandelbrot set when ) at the corresponding parameters.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Conformal Geometry and Dynamics | ||||
| Publisher: | American Mathematical Society | ||||
| ISSN: | 1088-4173 | ||||
| Official Date: | 2010 | ||||
| Dates: |
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| Volume: | Vol.14 | ||||
| Number: | No.13 | ||||
| Page Range: | pp. 219-255 | ||||
| DOI: | 10.1090/S1088-4173-2010-00216-X | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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