Seminar
Parent Program: | -- |
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Location: | SLMath: Eisenbud Auditorium |
Abstract: For general classes random Hermitian matrices, the eigenvalue statistics at the edge of the spectrum are described by the Airy kernel; in particular, the largest eigenvalue is asymptotically Tracy-Widom distributed. This is in contrast with ensembles of complex random matrices without symmetry conditions imposed, where extreme eigenvalues are typically independent in the large n limit. We will discuss two families of ensembles interpolating between these extremes, and show that the spectral edge scaling limit in both cases is a family of two-dimensional generalized Airy point processes
Keywords and Mathematics Subject Classification (MSC)
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