تقرير
Level sets of prevalent H\'older functions
| العنوان: | Level sets of prevalent H\'older functions |
|---|---|
| المؤلفون: | Anttila, Roope, Bárány, Balázs, Käenmäki, Antti |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Primary 26A16, 28A78, Secondary 26E15, 28A50 |
| الوصف: | We study the level sets of prevalent H\"older functions. For a prevalent $\alpha$-H\"older function on the unit interval, we show that the upper Minkowski dimension of every level set is bounded from above by $1-\alpha$ and Lebesgue positively many level sets have Hausdorff dimension equal to $1-\alpha$. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.08520 |
| رقم الأكسشن: | edsarx.2402.08520 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |