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Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes
Spectra of Random Hermitian Matrices Small-Rank External Source
2010/11/24
Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the matrix eigenvalues, whi...
Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes
Spectra of random Hermitian matrices small-rank external source: supercritical subcritical regimes
2010/12/9
Random Hermitian matrices with a source term arise, for instance, in the study of non-ntersecting Brownian walkers [1, 20] and sample covariance matrices [4]. We consider the case when the n × n exter...