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Large deviations of the maximal eigenvalue of random matrices

We present detailed computations of the 'at least finite' terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in beta-ensembles, with any polynomial potential. beta is a positive number, so not restricted to the standard values beta = 1 (hermitian...

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Detalles Bibliográficos
Autores principales: Borot, Gaetan, Eynard, Bertrand, Majumdar, Satya, Nadal, Celine
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1742-5468/2011/11/P11024
http://cds.cern.ch/record/1291054