تقرير
Growth and density in free groupoids
| العنوان: | Growth and density in free groupoids |
|---|---|
| المؤلفون: | Cardó, Carles |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 08B20, 08A30, 05A15 |
| الوصف: | The density of a subgroupoid with respect to a free groupoid is defined as the asymptotic ratio of their growths. This notion can be interpreted as a generalisation of the index's inverse for groups or as the probability of an element belonging to a subgroupoid. This more combinatorial strategy shows a richer picture of free groupoids than the bare algebraic perspective. We study the growth and density of several subgroupoids of a free groupoid. In addition, some aspects of enumeration related to the Motzkin paths are shown. Comment: 17 pages, 4 figures, Under review at European Journal of combinatorics |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.07827 |
| رقم الأكسشن: | edsarx.2401.07827 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |