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Lax pairs for integrable lattice systems (1999)
Journal Article
Ward, R. (1999). Lax pairs for integrable lattice systems. Journal of Mathematical Physics, 40(1), 299-308. https://doi.org/10.1063/1.532772

This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features... Read More about Lax pairs for integrable lattice systems.

Quantum corrections to the classical reflection factor in a2(1) Toda field theory. (1999)
Journal Article
Perkins, M., Bowcock, P., & Perkins, M. (1999). Quantum corrections to the classical reflection factor in a2(1) Toda field theory. Nuclear Physics B, 538(3), 612-630. https://doi.org/10.1016/s0550-3213%2898%2900707-x

The O(β2) quantum correction to the classical reflection factor is calculated for one of the integrable boundary conditions of a2(1) affine Toda field theory. This is found to agree with the conjectured exact reflection factor of the quantum theory.... Read More about Quantum corrections to the classical reflection factor in a2(1) Toda field theory..

Heights of Polynomials and Entropy in Algebraic Dynamics (1999)
Book
Everest, G., & Ward, T. (1999). Heights of Polynomials and Entropy in Algebraic Dynamics. Springer Verlag

The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a p... Read More about Heights of Polynomials and Entropy in Algebraic Dynamics.