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Tracy-Widom GUE law and symplectic invariants

We establish the relation between two objects: an integrable system related to Painleve II equation, and the symplectic invariants of a certain plane curve \Sigma_{TW} describing the average eigenvalue density of a random hermitian matrix spectrum near a hard edge (a bound for its maximal eigenvalue...

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Detalles Bibliográficos
Autores principales: Borot, Gaetan, Eynard, Bertrand
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:http://cds.cern.ch/record/1305323