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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.26515 |
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| _version_ | 1866914124343017472 |
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| author | Bonifant, Araceli Young, Brady |
| author_facet | Bonifant, Araceli Young, Brady |
| contents | We present a proof of the conjecture by Bonifant and Milnor (see arXiv:2503.08868) regarding the similarity between the connectedness locus of the curve $\mathcal{S}_p$ at Misiurewicz parameters and their corresponding filled Julia sets in a neighborhood of the corresponding free co-critical point. The proof is in parallel with the generalization of Tan Lei's proof of similarity in the Mandelbrot set developed by Kawahira. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Similarity at Misiurewicz Maps in the Cubic Parameter Curves Bonifant, Araceli Young, Brady Dynamical Systems 30D05, 37F10, 30C10 We present a proof of the conjecture by Bonifant and Milnor (see arXiv:2503.08868) regarding the similarity between the connectedness locus of the curve $\mathcal{S}_p$ at Misiurewicz parameters and their corresponding filled Julia sets in a neighborhood of the corresponding free co-critical point. The proof is in parallel with the generalization of Tan Lei's proof of similarity in the Mandelbrot set developed by Kawahira. |
| title | Similarity at Misiurewicz Maps in the Cubic Parameter Curves |
| topic | Dynamical Systems 30D05, 37F10, 30C10 |
| url | https://arxiv.org/abs/2510.26515 |