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http://hdl.handle.net/2445/192480
Title: | Equidistribution and $\beta$-ensembles |
Author: | Carroll, Tom Marzo Sánchez, Jordi Massaneda Clares, Francesc Xavier Ortega Cerdà, Joaquim |
Keywords: | Funcions de diverses variables complexes Aplicacions holomòrfiques Teoria del potencial (Matemàtica) Matrius aleatòries Processos puntuals Functions of several complex variables Holomorphic mappings Potential theory (Mathematics) Random matrices Point processes |
Issue Date: | 2018 |
Publisher: | Université Toulouse III - Paul Sabatier |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.5802/afst.1572 |
It is part of: | Annales de la Faculté des Sciences de Toulouse, 2018, vol. 27, num. 2, p. 377-387 |
URI: | http://hdl.handle.net/2445/192480 |
Related resource: | https://doi.org/10.5802/afst.1572 |
ISSN: | 0240-2963 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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