A. S. Mikhaylov, V. S. Mikhaylov, “Finite Toda lattice and classical moment problem”, Nanosystems: Physics, Chemistry, Mathematics, 2020, Volume 11, Issue 1,Pages <nobr>25

This article is cited in 1 paper

MATHEMATICS

Finite Toda lattice and classical moment problem

A. S. Mikhaylov^ab, V. S. Mikhaylov^a

^a Saint Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; Saint Petersburg State University
^b Saint Petersburg State University, Saint Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg, 199034 Russia

Abstract: 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.

Keywords: Toda lattice, moment problem, Jacobi matrices.

Received: 13.01.2020
Revised: 16.01.2020

Language: English

DOI: 10.17586/2220-8054-2020-11-1-25-29