Criterion for rays landing together
We give a criterion to determine when two external rays land at the same point for polynomials with locally connected Julia sets. As an application, we provide an elementary proof of the monotonicity of the core entropy along arbitrary veins of the Mandelbrot set.
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2020-09, Vol.373 (9), p.6479-6502 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give a criterion to determine when two external rays land at the same point for polynomials with locally connected Julia sets. As an application, we provide an elementary proof of the monotonicity of the core entropy along arbitrary veins of the Mandelbrot set. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/8088 |