Lattice paths and the constant term

Title: Lattice paths and the constant term
Creator: Brak, R.; Essam, J.; Osborn, J.; Owczarek, A. L.; Rechnitzer, A.
Relation: Counting Complexity: An international workshop on statistical mechanics and combinatorics. Journal of Physics: Conference Series, Volume 42 (Dunk Island, Qld 10-15 July, 2005) p. 47-58
Publisher Link: http://dx.doi.org/10.1088/1742-6596/42/1/006
Publisher: Institute of Physics (IOP) Publishers
Resource Type: conference paper
Date: 2006
Description: We firstly review the constant term method (CTM), illustrating its combinatorial connections and show how it can be used to solve a certain class of lattice path problems. We show the connection between the CTM, the transfer matrix method (eigenvectors and eigenvalues), partial difference equations, the Bethe Ansatz and orthogonal polynomials. Secondly, we solve a lattice path problem first posed in 1971. The model stated in 1971 was only solved for a special case - we solve the full model.
Subject: lattice paths; constant term method (CTM); orthogonal polynomials; transfer matrix method
Identifier: http://hdl.handle.net/1959.13/933746
Identifier: uon:11709
Identifier: ISSN:1742-6588
Language: eng
Reviewed

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