A Continuum Limit of the Toda Lattice, Volume 624

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American Mathematical Society - Mathematics - 216 pages
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In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. A novel feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.

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