Axel Bacher ; Manuel Kauers ; Rika Yatchak - Continued Classification of 3D Lattice Models in the Positive Octant

dmtcs:6415 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6415
Continued Classification of 3D Lattice Models in the Positive OctantArticle

Authors: Axel Bacher 1; Manuel Kauers 2,3; Rika Yatchak 2,3

  • 1 Laboratoire d'Informatique de Paris-Nord
  • 2 Johannes Kepler University Linz [Linz]
  • 3 University of Linz - Johannes Kepler Universität Linz

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.


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Fast Computer Algebra for Special Functions; Funder: Austrian Science Fund (FWF); Code: Y 464

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