A priori bounds for some infinitely renormalizable quadratic: IV. Elephant Eyes
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910004901052416 |
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| author | Kahn, Jeremy Lyubich, Misha |
| author_facet | Kahn, Jeremy Lyubich, Misha |
| contents | In this paper we prove a priori bounds for an ``elephant eye'' combinatorics. Little $M$-copies specifying these combinatorics are allowed to converge to the cusp of the Mandelbrot set. To handle it, we develope a new geometric tool: uniform thin-thick decompositions for bordered Riemann surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21905 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A priori bounds for some infinitely renormalizable quadratic: IV. Elephant Eyes Kahn, Jeremy Lyubich, Misha Dynamical Systems In this paper we prove a priori bounds for an ``elephant eye'' combinatorics. Little $M$-copies specifying these combinatorics are allowed to converge to the cusp of the Mandelbrot set. To handle it, we develope a new geometric tool: uniform thin-thick decompositions for bordered Riemann surfaces. |
| title | A priori bounds for some infinitely renormalizable quadratic: IV. Elephant Eyes |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.21905 |