Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/214176 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces. Giovanni Felder and Jens Hoppe. SIGMA 21 (2025), 103, 13 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862740039054655488 |
|---|---|
| author | Felder, Giovanni Hoppe, Jens |
| author_facet | Felder, Giovanni Hoppe, Jens |
| citation_txt | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces. Giovanni Felder and Jens Hoppe. SIGMA 21 (2025), 103, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions.
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| first_indexed | 2026-03-21T19:09:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214176 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T19:09:38Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Felder, Giovanni Hoppe, Jens 2026-02-20T07:51:21Z 2025 Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces. Giovanni Felder and Jens Hoppe. SIGMA 21 (2025), 103, 13 pages 1815-0659 2020 Mathematics Subject Classification: 33C45; 34M55; 53A10; 15B52 arXiv:2504.06197 https://nasplib.isofts.kiev.ua/handle/123456789/214176 https://doi.org/10.3842/SIGMA.2025.103 We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions. We would like to thank J. Arnlind, J. Choe, M. Duits, P. Elbau, J. Fröhlich, A. Hone, and I. Kostov for discussions. We thank the anonymous referees for their careful reading and valuable suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces Article published earlier |
| spellingShingle | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces Felder, Giovanni Hoppe, Jens |
| title | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| title_full | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| title_fullStr | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| title_full_unstemmed | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| title_short | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| title_sort | orthogonal polynomials with complex densities and quantum minimal surfaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214176 |
| work_keys_str_mv | AT feldergiovanni orthogonalpolynomialswithcomplexdensitiesandquantumminimalsurfaces AT hoppejens orthogonalpolynomialswithcomplexdensitiesandquantumminimalsurfaces |