تقرير
Slowly recurrent Collet-Eckmann maps with non-empty Fatou set
العنوان: | Slowly recurrent Collet-Eckmann maps with non-empty Fatou set |
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المؤلفون: | Aspenberg, Magnus, Bylund, Mats, Cui, Weiwei |
المصدر: | Proc. Lond. Math. Soc. (3) 128 (2024), no. 1, Paper No. e12574, 32 pp |
سنة النشر: | 2022 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37F10, 37F15, 30D05 |
الوصف: | In this paper we study rational Collet-Eckmann maps for which the Julia set is not the whole sphere and for which the critical points are recurrent at a slow rate. In families where the orders of the critical points are fixed, we prove that such maps are Lebesgue density points of hyperbolic maps. In particular, if all critical points are simple, they are Lebesgue density points of hyperbolic maps in the full space of rational maps of any degree $d \geq 2$. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2207.14046 |
رقم الأكسشن: | edsarx.2207.14046 |
قاعدة البيانات: | arXiv |
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