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On mesoscopic equilibrium for linear statistics in Dyson's brownian motion

In this paper the authors study mesoscopic fluctuations for Dyson's Brownian motion with \beta =2. Dyson showed that the Gaussian Unitary Ensemble (GUE) is the invariant measure for this stochastic evolution and conjectured that, when starting from a generic configuration of initial points, the...

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Detalles Bibliográficos
Autores principales: Duits, Maurice, Johansson, Kurt
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Acceso en línea:http://cds.cern.ch/record/2653926

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