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A family of random matrix ensembles interpolating between the GUE and the Ginibre ensemble of $n\times n$ matrices with iid centered complex Gaussian entries is considered.
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K. Johansson, Random matrices and determinantal processes, in A. Bovier, F. Dunlop, A. van Enter, F. den Hollander, J. Dalibard (eds.) Mathematical Statistical Physics: Lecture Notes of the Les Houches Summer School 2005. , pp 1-56. Elsevier 2006
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K. Johansson, From Gumbel to Tracy-Widom, Probab. Theory Related Fields 138, no.1-2 (2007), 75-112
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