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The landing of parameter rays at non-recurrent critical portraits

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Abstract

Based on the distortion theory developed by Cui and Tan (2015), we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby generalizing a result of Kiwi (2005).

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11501383 and 11471317) and China Scholarship Council for Supports. The authors thank Professors Guizhen Cui and Lei Tan for introductions and many helpful suggestions.

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Correspondence to Jinsong Zeng.

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Dedicated to the Memory of Professor Lei Tan

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Gao, Y., Zeng, J. The landing of parameter rays at non-recurrent critical portraits. Sci. China Math. 61, 2267–2282 (2018). https://doi.org/10.1007/s11425-017-9226-7

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  • DOI: https://doi.org/10.1007/s11425-017-9226-7

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