 | Balint Virag, "Random matrices and random Schroedinger operators" |
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Коллоквиум лаборатории Чебышева Четверг 7 апреля, 17.15, 14 линия, дом 29, аудитория 14 Balint Virag (Toronto & Budapest)
Random matrices and random Schroedinger operators In the 1950s, Wigner initiated a program to understand physical phenomena through the eigenvalues of random matrices. Dyson called this the "new statistical mechanics". While it has been a remarkably successful approach in physics, almost nothing has been proven mathematically. I will show how to construct a "continuum limit" of the Gaussian random matrix ensembles. A similar approach can be applied to a different physical model, random Schroedinger operators. In certain cases, we can verify the physics predictions: the eigenvalue distributions agree. |