Combinatorics of generalized Dyck and Motzkin paths.
Where this comes from
- Record sourced from PubMed, PMID 36397511.
- Also identified by DOI 10.1103/PhysRevE.106.044123.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
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.