Inverse moment problem for elementary co-adjoint orbits
We give a solution to the inverse moment problem for a certain class of Hessenberg and symmetric matrices related to integrable lattices of Toda type.
nlin.SI↗
arXiv subjects
L. Faybusovich
Publications and source records attributed to L. Faybusovich.
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices.
nlin.SI↗