najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2020-11-1-25-29najo-463Research ArticleMATHEMATICSМАТЕМАТИКАFinite Toda lattice and classical moment problemMikhaylovA. S.

7, Fontanka, 191023 Saint Petersburg

7/9 Universitetskaya nab., Saint Petersburg, 199034

mikhaylov@pdmi.ras.ruMikhaylovV. S.

7, Fontanka, 191023 Saint Petersburg

vsmikhaylov@pdmi.ras.ruSaint Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences; Saint Petersburg State University, Saint Petersburg State UniversityRussian FederationSaint Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of SciencesRussian Federation20203107202511125–29Copyright © Mikhaylov A.S., Mikhaylov V.S., 20252025Mikhaylov A.S., Mikhaylov V.S.Mikhaylov A.S., Mikhaylov V.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/463

We study the problem of computing the solution to finite Toda lattice. Specifically, we describe the evolution of moments of the spectral measure of a Jacobi matrix entering in the Lax pair.

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The authors declare that there are no conflicts of interest present.