Lattice walk area combinatorics, some remarkable trigonometric sums and Apéry-like numbers

DOI10.1016/j.nuclphysb.2020.115174zbMath1482.82031arXiv2006.06445OpenAlexW4287760822MaRDI QIDQ823002

Alexios P. Polychronakos, Stéphane Ouvry

Publication date: 24 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06445

zbMATH Keywords

algebraic area enumeration formulaetriangular lattice chiral walks

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Special sequences and polynomials (11B83) Random walks on graphs (05C81)

Related Items (3)

Exclusion statistics for particles with a discrete spectrum ⋮ On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel ⋮ Algebraic area enumeration for open lattice walks

Uses Software

• OEIS

Cites Work

• Exclusion statistics and lattice random walks
• Bijective counting of Kreweras walks and loopless triangulations
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• The algebraic area of closed lattice random walks

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