Enumerating runs, valleys, and peaks in Catalan words
| Autor: | Baril, Jean-Luc, Harris, Pamela E., Harry, Kimberly J., McClinton, Matt, Ramírez, José L. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks, and symmetric peaks. We also establish some bijections with restricted Dyck paths and ordered trees that transports some statistics. |
| Databáze: | arXiv |
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