تقرير
Discontinuities cause essential spectrum on surfaces
| العنوان: | Discontinuities cause essential spectrum on surfaces |
|---|---|
| المؤلفون: | Butterley, Oliver, Canestrari, Giovanni, Castorrini, Roberto |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems |
| الوصف: | Two-dimensional maps with discontinuities are considered. It is shown that, in the presence of discontinuities, the essential spectrum of the transfer operator is large whenever it acts on a Banach space with norm that is stronger than $L^\infty$ or $BV$. Three classes of examples are introduced and studied. In two dimensions there is complication due to the geometry of the discontinuities, an issue not present in the one-dimensional case and which is explored in this work. Comment: Comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.00484 |
| رقم الأكسشن: | edsarx.2306.00484 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |