Finite Toda lattice and classical moment problem
https://doi.org/10.17586/2220-8054-2020-11-1-25-29
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.
Supporting agencies: A.S. Mikhaylov and V.S. Mikhaylov were partially supported by RFBR 18-01-00269 and by the Ministry of Education and Science of Republic of Kazakhstan under grant AP05136197 and by Volkswagen Foundation project “From Modeling and Analysis to Approximation”.
About the Authors
A. S. Mikhaylov
Saint Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences; Saint Petersburg State University, Saint Petersburg State University
Russian Federation
Russian Federation
7, Fontanka, 191023 Saint Petersburg
7/9 Universitetskaya nab., Saint Petersburg, 199034
V. S. Mikhaylov
Saint Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Russian Federation
Russian Federation
7, Fontanka, 191023 Saint Petersburg
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Review
For citations:
Mikhaylov A.S., Mikhaylov V.S. Finite Toda lattice and classical moment problem. Nanosystems: Physics, Chemistry, Mathematics. 2020;11(1):25–29. https://doi.org/10.17586/2220-8054-2020-11-1-25-29
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