On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915525197561856 |
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| author | Osipov, Andrey |
| author_facet | Osipov, Andrey |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators Osipov, Andrey Spectral Theory 47B36, 37K10, 37K15, 42C05 47B36, 37K10, 37K15, 42C05 47B36, 37K10, 37K15, 42C05 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. |
| title | On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators |
| topic | Spectral Theory 47B36, 37K10, 37K15, 42C05 47B36, 37K10, 37K15, 42C05 47B36, 37K10, 37K15, 42C05 |
| url | https://arxiv.org/abs/2509.26250 |