Report
Combinatorial Growth in the Modular Group
| العنوان: | Combinatorial Growth in the Modular Group |
|---|---|
| المؤلفون: | Basmajian, Ara, Valli, Robert Suzzi |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Complex Variables, 20F69, 32G15, 57K20 (Primary) 20H10, 53C22 (Secondary) |
| الوصف: | We consider an exhaustion of the modular orbifold by compact subsurfaces and show that the growth rate, in terms of word length, of the reciprocal geodesics on such subsurfaces (so named low lying reciprocal geodesics) converge to the growth rate of the full set of reciprocal geodesics on the modular orbifold. We derive a similar result for the low lying geodesics and their growth rate convergence to the growth rate of the full set of closed geodesics. Comment: 21 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2008.04089 |
| رقم الانضمام: | edsarx.2008.04089 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |