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March 29, 2026Russian Journal of Mathematical Physics0 citations

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

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AOA.S. Osipov

Key Points

  • The aim is to establish a correspondence between semi-infinite and infinite Volterra lattices and specific probability measures.
  • Utilized inverse spectral theory of Jacobi operators
  • Applied concepts from the theory of orthogonal polynomials
  • Focused on finite logarithmic Hamiltonians
  • Confirmed a correspondence between Volterra lattices and even probability measures
  • Established theoretical foundations for further exploration of Hamiltonians and measures

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.

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Cite This Study

A.S. Osipov (2026) studied this question.

synapsesocial.com/papers/69c8c324de0f0f753b39dc3ehttps://doi.org/10.1134/s1061920826010140
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