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Eigenvalue distributions from a star product approach
Eigenvalue distributions star product approach Mathematical Physics
2012/6/21
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimensio...
Transmission eigenvalue distributions in highly-conductive molecular junctions
Transmission eigenvalue distributions highly-conductive molecular junctions
2011/8/18
Abstract: The transport through a quantum-scale device may be characterized by the transmission eigenvalues. These values constitute a junction PIN code where, for example, in single-atom metallic con...
Smallest eigenvalue distributions for $\beta$-Jacobi ensembles
Smallest eigenvalue distributions $\beta$-Jacobi ensembles
2010/12/10
We compute the exact and limiting smallest eigenvalue distributions for a class of -Jacobi ensembles not covered by previous studies. In the general case, these distributions are given by multivari...