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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2509.07350 |
| Etiquetas: |
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- In this paper, we study the boundary behavior of Milnor's parameterization $Φ: \mathcal B_d\rightarrow \mathcal H_d$ of the central hyperbolic component $\mathcal H_d$ via Blaschke products. We establish a boundary extension theorem by giving a necessary and sufficient condition for $D\in \partial \mathcal B_d$ which allows $Φ$-extension. Further we show that cusps are dense in a full Hausdorff dimensional subset of $\partial \mathcal H_d$, partially confirming a conjecture of McMullen.