تقرير
Analytic mappings of the unit disk which almost preserve hyperbolic area
| العنوان: | Analytic mappings of the unit disk which almost preserve hyperbolic area |
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| المؤلفون: | Ivrii, Oleg, Nicolau, Artur |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs |
| الوصف: | In this paper, we study analytic self-maps of the unit disk which distort hyperbolic area of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, M\"obius distortion, the distribution of critical points and Aleksandrov-Clark measures. We also study Lyapunov exponents of their Aleksandrov-Clark measures. Comment: 43 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.02798 |
| رقم الأكسشن: | edsarx.2403.02798 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |