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Abstract <p> We establish a correspondence between the semi-infinite and infinite Volterra lattices with 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. </p>

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On a Measure-Theoretic Description of Logarithmic Hamiltonians for Volterra-Type Lattices

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • A.S. Osipov

摘要

Abstract

We establish a correspondence between the semi-infinite and infinite Volterra lattices with 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.