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On the statistical mechanics approach in the random matrix theory: Integrated density of states

✍ Scribed by A. Boutet Monvel; L. Pastur; M. Shcherbina


Publisher
Springer
Year
1995
Tongue
English
Weight
862 KB
Volume
79
Category
Article
ISSN
0022-4715

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Generic behavior of the density of state
✍ A. B. J. Kuijlaars; K. T-R McLaughlin πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 260 KB πŸ‘ 2 views

The equilibrium measure in the presence of an external field plays a role in a number of areas in analysis, for example, in random matrix theory: The limiting mean density of eigenvalues is precisely the density of the equilibrium measure. Typical behavior for the equilibrium measure is: 1. it is p