DOAJ Open Access 2020

Continued Classification of 3D Lattice Models in the Positive Octant

Axel Bacher Manuel Kauers Rika Yatchak

Lihat Sumber DOI

Abstrak

We continue the investigations of lattice walks in the three-dimensional lattice restricted to the positive octant. We separate models which clearly have a D-finite generating function from models for which there is no reason to expect that their generating function is D-finite, and we isolate a small set of models whose nature remains unclear and requires further investigation. For these, we give some experimental results about their asymptotic behaviour, based on the inspection of a large number of initial terms. At least for some of them, the guessed asymptotic form seems to tip the balance towards non-D-finiteness.

Topik & Kata Kunci

Mathematics

Penulis (3)

Axel Bacher

Manuel Kauers

Rika Yatchak

Format Sitasi

APA MLA BibTeX

Bacher, A., Kauers, M., Yatchak, R. (2020). Continued Classification of 3D Lattice Models in the Positive Octant. https://doi.org/10.46298/dmtcs.6415

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6415

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6415
Akses: Open Access ✓