dc.contributor.author
Carroll, Tom
dc.contributor.author
Marzo Sánchez, Jordi
dc.contributor.author
Massaneda Clares, Francesc Xavier
dc.contributor.author
Ortega Cerdà, Joaquim
dc.date.issued
2023-01-23T08:36:13Z
dc.date.issued
2023-01-23T08:36:13Z
dc.date.issued
2023-01-23T08:36:13Z
dc.identifier
https://hdl.handle.net/2445/192480
dc.description.abstract
We find the precise rate at which the empirical measure associated to a $\beta$-ensemble converges to its limiting measure. In our setting the $\beta$-ensemble is a random point process on a compact complex manifold distributed according to the $\beta$ power of a determinant of sections in a positive line bundle. A particular case is the spherical ensemble of generalized random eigenvalues of pairs of matrices with independent identically distributed Gaussian entries.
dc.format
application/pdf
dc.publisher
Université Toulouse III - Paul Sabatier
dc.relation
Reproducció del document publicat a: https://doi.org/10.5802/afst.1572
dc.relation
Annales de la Faculté des Sciences de Toulouse, 2018, vol. 27, num. 2, p. 377-387
dc.relation
https://doi.org/10.5802/afst.1572
dc.rights
cc-by (c) Carroll, Tom et al., 2018
dc.rights
https://creativecommons.org/licenses/by/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions de diverses variables complexes
dc.subject
Aplicacions holomòrfiques
dc.subject
Teoria del potencial (Matemàtica)
dc.subject
Matrius aleatòries
dc.subject
Processos puntuals
dc.subject
Functions of several complex variables
dc.subject
Holomorphic mappings
dc.subject
Potential theory (Mathematics)
dc.subject
Random matrices
dc.subject
Point processes
dc.title
Equidistribution and $\beta$-ensembles
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
