Gluing polynomials along the circle
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918208849575936 |
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| author | Wu, Panjing Zhang, Gaofei |
| author_facet | Wu, Panjing Zhang, Gaofei |
| contents | Gluing is a cut and paste construction where the dynamics of a map in a given domain is replaced by a different one, under the condition that the two agree along the gluing curve. Here we consider two polynomials with a finite super-attracting fixed point of the same degree. We prove that any two such non-renormalizable polynomials can be glued into a rational map along the Jordan boundary of the immediate basin of the super-attracting fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gluing polynomials along the circle Wu, Panjing Zhang, Gaofei Dynamical Systems Gluing is a cut and paste construction where the dynamics of a map in a given domain is replaced by a different one, under the condition that the two agree along the gluing curve. Here we consider two polynomials with a finite super-attracting fixed point of the same degree. We prove that any two such non-renormalizable polynomials can be glued into a rational map along the Jordan boundary of the immediate basin of the super-attracting fixed point. |
| title | Gluing polynomials along the circle |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.10042 |