A combinatorial aspect of a discrete-time semi-infinite Lotka-Volterra equation

DOI10.1007/S11424-010-9276-1zbMath1298.37024OpenAlexW1969171366MaRDI QIDQ469632

Satoru Mizutani, Shuhei Kamioka

Publication date: 11 November 2014

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-010-9276-1

zbMATH Keywords

Hankel determinantscombinatorial proofsdiscrete integrable systemsdynamics on graphsnon-intersecting pathsgessel-viennot methodweighted paths on labeled graphs

Mathematics Subject Classification ID

Paths and cycles (05C38) Algebraic combinatorics (05E99) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (1)

An integrable semi-discrete equation and combinatorial numbers with their combinatorial interpretations

Cites Work

• Unnamed Item
• Binomial determinants, paths, and hook length formulae
• Combinatorial aspects of continued fractions
• Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials
• Conserved Quantities of “Random-Time Toda Equation”

This page was built for publication: A combinatorial aspect of a discrete-time semi-infinite Lotka-Volterra equation