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dc.contributor.author
Kuijlaars, Arno B. J.
dc.contributor.author
Román, Pablo Manuel
dc.date.available
2018-09-19T17:36:41Z
dc.date.issued
2017-07
dc.identifier.citation
Kuijlaars, Arno B. J.; Román, Pablo Manuel; Spherical functions approach to sums of Random Hermitian Matrices; Oxford University Press; International Mathematics Research Notices; 7-2017
dc.identifier.issn
1073-7928
dc.identifier.uri
http://hdl.handle.net/11336/60242
dc.description.abstract
We present an approach to sums of random Hermitian matrices via the theory of spher- ical functions for the Gelfand pair (U(n) Herm(n), U(n)). It is inspired by a similar approach of Kieburg and Kösters for products of random matrices. The spherical func- tions have determinantal expressions because of the Harish-Chandra/Itzykson?Zuber integral formula. It leads to remarkably simple expressions for the spherical transform and its inverse. The spherical transform is applied to sums of unitarily invariant ran- dom matrices from polynomial ensembles and the subclass of polynomial ensembles of derivative type (in the additive sense), which turns out to be closed under addition. We finally present additional detailed calculations for the sum with a random matrix from a Laguerre unitary ensemble.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Oxford University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Spherical Functions
dc.subject
Random Matrices
dc.subject
Sums of Random Matrices
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Spherical functions approach to sums of Random Hermitian Matrices
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-14T19:04:14Z
dc.identifier.eissn
1687-0247
dc.journal.pais
Reino Unido
dc.journal.ciudad
Oxford
dc.description.fil
Fil: Kuijlaars, Arno B. J.. Katholikie Universiteit Leuven; Bélgica
dc.description.fil
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
International Mathematics Research Notices
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-lookup/doi/10.1093/imrn/rnx146
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnx146
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