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Random non-commutative geometries are introduced by integrating over the space of Dirac operators that form a spectral triple with a fixed algebra and Hilbert space.
On the Distribution of the Roots of Certain Symmetric Matrices
Eugene P. Wigner · 1958
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M. L. Mehta and M. Gaudin · 1960
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Monte Carlo sampling methods using Markov chains and their applications
W. K. Hastings · 1970
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A method of integration over matrix variables: II
S. Chadha, G. Mahoux, and M. L. Mehta · 1981
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Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
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