Demonstrates the link between Volterra lattices and probability measures, suggesting new insights into mathematical frameworks.
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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A.S. Osipov (2026) studied this question.
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