تقرير
Perturbations of exponential maps: Non-recurrent dynamics
| العنوان: | Perturbations of exponential maps: Non-recurrent dynamics |
|---|---|
| المؤلفون: | Aspenberg, Magnus, Cui, Weiwei |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37F10, 30D05 |
| الوصف: | We study perturbations of non-recurrent parameters in the exponential family. It is shown that the set of such parameters has Lebesgue measure zero. This particularly implies that the set of escaping parameters has Lebesgue measure zero, which complements a result of Qiu from 1994. Moreover, we show that non-recurrent parameters can be approximated by hyperbolic ones. Comment: Author accepted version. Overall revisions on Section 2 and simplified proofs for Lemmas 3.2 and 3.3; several references added. To appear in Journal d'Analyse Math\'ematique |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.11093 |
| رقم الأكسشن: | edsarx.2206.11093 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |