تقرير
Combinatorics of generalized Dyck and Motzkin paths
| العنوان: | Combinatorics of generalized Dyck and Motzkin paths |
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| المؤلفون: | Gan, Li, Ouvry, Stéphane, Polychronakos, Alexios P. |
| المصدر: | Phys. Rev. E 106, 044123 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematics - Combinatorics |
| الوصف: | We relate the combinatorics of periodic generalized Dyck and Motzkin paths to the cluster coefficients of particles obeying generalized exclusion statistics, and obtain explicit expressions for the counting of paths with a fixed number of steps of each kind at each vertical coordinate. A class of generalized compositions of the integer path length emerges in the analysis. Comment: 27 pages, 11 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.106.044123 |
| URL الوصول: | http://arxiv.org/abs/2207.07664 |
| رقم الأكسشن: | edsarx.2207.07664 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.106.044123 |
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