Generic critical points of normal matrix ensembles
نویسندگان
چکیده
منابع مشابه
Generic critical points of normal matrix ensembles
The evolution of the degenerate complex curve associated with the ensemble at a generic critical point is related to the finite time singularities of Laplacian Growth. It is shown that the scaling behavior at a critical point of singular geometry x ∼ y is described by the first Painlevé transcendent. The regularization of the curve resulting from discretization is discussed. PACS numbers: 05.30...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/28/s09