Generic critical points of normal matrix ensembles
نویسنده
چکیده
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, 05.40, 05.45 Submitted to: J. Phys. A: Math. Gen.
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تاریخ انتشار 2006