Phase structure and asymptotic zero densities of orthogonal polynomials in the cubic model
| dc.contributor.author | Álvarez Galindo, Gabriel | |
| dc.contributor.author | Martínez Alonso, Luis | |
| dc.contributor.author | Medina Reus, Elena | |
| dc.date.accessioned | 2023-06-18T06:45:05Z | |
| dc.date.available | 2023-06-18T06:45:05Z | |
| dc.date.issued | 2015-08-15 | |
| dc.description | © Elsevier Science Bv. We thank Prof. A. Martínez Finkelshtein for useful conversations and for calling our attention to the work [20]. The financial support of the Ministerio de Ciencia e Innovación under project FIS2011-22566 is gratefully acknowledged. | |
| dc.description.abstract | We apply the method we have described in a previous paper (2013) to determine the phase structure of asymptotic zero densities of the standard cubic model of non-Hermitian orthogonal polynomials. We provide a complete description of the two phases: the one cut phase and the two cut phase, and analyze the phase transition processes of the types: splitting of a cut, birth and death of a cut. (C) 2014 Elsevier B.V. All rights reserved. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovacion | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30419 | |
| dc.identifier.doi | 10.1016/j.cam.2014.11.054 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/j.cam.2014.11.054 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24025 | |
| dc.journal.title | Journal of computational and applied mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 25 | |
| dc.page.initial | 10 | |
| dc.publisher | Elsevier Science Bv | |
| dc.relation.projectID | FIS2011-22566 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Riemann-hilbert approach | |
| dc.subject.keyword | Valued weight function | |
| dc.subject.keyword | Matrix models | |
| dc.subject.keyword | Exponential weights | |
| dc.subject.keyword | Respect | |
| dc.subject.keyword | Universality | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Phase structure and asymptotic zero densities of orthogonal polynomials in the cubic model | |
| dc.type | journal article | |
| dc.volume.number | 284 | |
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