Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA Disculpen las molestias.
 

A Common integrable structure in the hermitian matrix model and Hele-Shaw flows

dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T11:03:03Z
dc.date.available2023-06-20T11:03:03Z
dc.date.issued2008-10
dc.description©Atlantis Press. The authors wish to thank the Spanish Ministerio de Educacion y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their financial support.
dc.description.abstractIt is proved that the system of string equations of the dispersionless 2-Toda hierarchy which arises in the planar limit of the hermitian matrix model also underlies certain processes in HeleShaw flows.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministerio de Educacion y Ciencia
dc.description.sponsorshipEuropean Science Foundation (MISGAM programme)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34305
dc.identifier.doi10.2991/jnmp.2008.15.s3.27
dc.identifier.issn1402-9251
dc.identifier.officialurlhttp://dx.doi.org/10.2991/jnmp.2008.15.s3.27
dc.identifier.relatedurlhttp://www.tandfonline.com
dc.identifier.relatedurlhttp://arxiv.org/abs/0710.2798
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51646
dc.journal.titleJournal of nonlinear mathematical physics
dc.language.isoeng
dc.page.final287
dc.page.initial277
dc.publisherAtlantis Press
dc.relation.projectIDFIS2005-00319
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDiscrete Kp
dc.subject.keywordHierarchies
dc.subject.keywordEquations
dc.subject.keywordEnsemble
dc.subject.keywordGrowth
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleA Common integrable structure in the hermitian matrix model and Hele-Shaw flows
dc.typejournal article
dc.volume.number15
dcterms.references[1] A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov and A. Orlov, Nuc. Phys. B 357, 565 (1991) [2] S. Y. Alexandrov, V. A. Kazakov and I. K. Kostov, Nuc. Phys. B 667, 90 (2003) [3] M. Adler and P. Van Moerbeke, Comm. Math. Phys. 203 , 185 (1999); Comm. Math. Phys. 207 , 589 (1999) [4] K. Takasaki and T. Takebe, Rev. Math. Phys. 7, 743 (1995) [5] P. W. Wiegmann and P. B. Zabrodin, Comm. Math. Phys. 213 , 523 (2000) [6] M. Mineev-Weinstein, P. Wiegmann and A. Zabrodin, Phys. Rev. Lett. 84, 5106 [7] O. Agam, E. Bettelheim, P. Wiegmann and A. Zabrodin, Phys. Rev. Lett. 88, 236801 (2002) [8] R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin and P. Wiegmann, Nuc. Phys. B 700, 521 (2004); Nuc. Phys. B 704, 407 (2005) [9] I. Krichever, M. Mineev-Weinstein, P. Wiegmann and A. Zabrodin, Physica D 198, 1 (2004) [10] S-Y. Lee, E. Bettelheim and P. Wiegmann, Physica D 219, 23(2006) [11] L. Martínez Alonso and E. Medina, Phys. Lett. B 610, 227 (2005) [12] L. Martínez Alonso, M. Mañas and E. Medina, J. Math. Phys. 47, 83512 (2006) [13] P. Di Francesco, P. Ginsparg and Z. Zinn-Justin , 2D Gravity and Random Matrices hepth/9306153. [14] B. Eynard, An introduction to random matrices, lectures given at Saclay, October 2000, http://www-spht.cea.fr/articles/t01/014/. [15] E. Brézin, C. Itzikson, G. Parisi and B. Zuber, Comm. Math. Phys. 59 , 35 (1978) [16] D. Bessis, C. Itzikson, G. Parisi and B. Zuber, Adv. in Appl. Math. 1 , 109 (1980) [17] C. Itzikson and B. Zuber, J. Math. Phys. 21 , 411 (1980) [18] A. A. Migdal, Phys. Rep. 102, 199 (1983)
dspace.entity.typePublication
relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
martinezalonso20preprint.pdf
Size:
126.64 KB
Format:
Adobe Portable Document Format

Collections