Abstract
The long time behaviour of the semi-infinite Toda lattice is deduced from a set of identities for the squared eigenfunctions of the Toda flow.
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Deift, P., Li, L.-C., Tomei, C.: Toda flows with infinitely many variables. J. Funct. Anal.64, 358–402 (1985)
Flaschka, H.: The Toda lattice. I. Phys. Rev. B9, 1924–1925 (1974)
Li, L.-C.: Ph. D. Thesis. New York University 1983
Moser, J.: Finitely many mass points on the line under the influence of an exponential potential-An integrable system, dynamical systems, theory and applications. Moser, J. (ed.), Berlin, Heidelberg, New York: Springer 1975, pp. 467–497
Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press 1978
Symes, W.: Hamiltonian group actions and integrable systems. Physica D10, 339–374 (1980)
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Communicated by O. E. Lanford
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Li, LC. Long time behaviour of an infinite particle system. Commun.Math. Phys. 110, 617–623 (1987). https://doi.org/10.1007/BF01205551
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DOI: https://doi.org/10.1007/BF01205551