DOAJ Open Access 2014

Sweep maps for lattice paths

Nicholas Loehr Gregory Warrington

Lihat Sumber DOI

Abstrak

Sweep maps are a family of maps on words that, while simple to define, are not yet known to be injective in general. This family subsumes many of the "zeta maps" that have arisen in the study of q,t-Catalan numbers in the course of relating the three statistics of area, bounce and dinv. A sweep map can be defined for words over arbitrary alphabets with arbitrary weights. The latter property makes them particularly suitable for the study of rational Catalan combinatorics.

Topik & Kata Kunci

Mathematics

Penulis (2)

Nicholas Loehr

Gregory Warrington

Format Sitasi

APA MLA BibTeX

Loehr, N., Warrington, G. (2014). Sweep maps for lattice paths. https://doi.org/10.46298/dmtcs.2432

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2432

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2432
Akses: Open Access ✓