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Bibliographic Details
Main Author: Osipov, Andrey
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.26250
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Table of Contents:
  • We establish a correspondence between the semi-infinite and infinite Volterra lattices having a finite logarithmic Hamiltonian and certain classes of even probability measures. In doing so, we apply the inverse spectral theory of Jacobi operators and the theory of orthogonal polynomials. A similar correspondence is established for semi-infinite modified Volterra lattices.