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Limit distributions of Gaussian block ensembles
It has been shown by Voiculescu that important classes of square independent random matrices are asymptotically free, where freeness is a noncommutative analog of classical independence. Recently, we introduced the concept of matricial freeness, which is
Lenczewski, Romuald
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Free Subordination and Belinschi-Nica Semigroup
We realize the Belinschi-Nica semigroup of homomorphisms as a free multiplicative subordination. This realization allows to define more general semigroups of homomorphisms with respect to free multiplicative convolution. For these semigroups we show that
Arizmendi, Octavio, Hasebe, Takahiro
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]
Pérez-Sánchez CI.
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Finite free convolutions of polynomials. [PDF]
Marcus AW, Spielman DA, Srivastava N.
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Fluctuation Moments for Regular Functions of Wigner Matrices. [PDF]
Reker J.
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Explicit free multiplicative law of large numbers
Communications in Statistics - Theory and Methods, 2023Raouf Fakhfakh
exaly
Free Convolution Powers Via Roots of Polynomials
Experimental Mathematics, 2023Stefan Steinerberger
exaly
On polynomials associated with Cauchy–Stieltjes kernel families
Communications in Statistics - Theory and Methods, 2023Raouf Fakhfakh
exaly
Dynamics of Zeroes Under Repeated Differentiation
Experimental Mathematics, 2023Zakhar Kabluchko
exaly

