Results 21 to 26 of about 460 (26)

Limit distributions of Gaussian block ensembles

open access: yes, 2015
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
core   +1 more source

Free evolution on algebras with two states II

open access: yes, 2014
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evolution with non-zero initial condition, $J[\nu_t] = \rho ...
Anshelevich   +4 more
core   +1 more source

Decomposition results for Gram matrix determinants

open access: yes, 2010
We study the Gram matrix determinants for the groups $S_n,O_n,B_n,H_n$, for their free versions $S_n^+,O_n^+,B_n^+,H_n^+$, and for the half-liberated versions $O_n^*,H_n^*$.
Banica, Teodor, Curran, Stephen
core   +1 more source

Finite free convolutions of polynomials. [PDF]

open access: yesProbab Theory Relat Fields, 2022
Marcus AW, Spielman DA, Srivastava N.
europepmc   +1 more source

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