Algebraic area enumeration for open lattice walks

DOI10.1088/1751-8121/ACA573OpenAlexW4285095859MaRDI QIDQ5878949

Stéphane Ouvry, Alexios P. Polychronakos

Publication date: 23 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12428

zbMATH Keywords

random walksquantum torusDyck pathsHofstadter modelalgebraic area enumeration

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx)

Cites Work

• An infinite family of adsorption models and restricted Lukasiewicz paths
• Lattice walk area combinatorics, some remarkable trigonometric sums and Apéry-like numbers
• Exclusion statistics for particles with a discrete spectrum
• Algebraic area enclosed by random walks on a lattice
• The algebraic area of closed lattice random walks

This page was built for publication: Algebraic area enumeration for open lattice walks