Rectangular random matrices, related convolution
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Publication:2391168
DOI10.1007/s00440-008-0152-zzbMath1171.15022arXivmath/0507336OpenAlexW2101513535MaRDI QIDQ2391168
Publication date: 24 July 2009
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507336
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Cites Work
- On the distribution of the roots of certain symmetric matrices
- The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile
- The Lebesgue decomposition of the free additive convolution of two probability distributions
- Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
- Regularization by free additive convolution, square and rectangular cases
- Limit laws for random matrices and free products
- Notes on non-commutative integration
- Some minimization problems for the free analogue of the Fisher information
- Stable laws and domains of attraction in free probability theory
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Concentration of the spectral measure for large matrices
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- Continuous family of invariant subspaces for \(R\)-diagonal operators
- Deterministic equivalents for certain functionals of large random matrices
- Infinitely divisible distributions for rectangular free convolution: classification and matricial interpretation
- Free Random Variables
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices
- Strong asymptotic freeness for Wigner and Wishart matrices
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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