Results 21 to 26 of about 460 (26)

Asymptotic Cram\'er type decomposition for Wiener and Wigner integrals

open access: yes, 2012
We investigate generalizations of the Cram\'er theorem. This theorem asserts that a Gaussian random variable can be decomposed into the sum of independent random variables if and only if they are Gaussian.
Bourguin, Solesne   +1 more
core   +3 more sources

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

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

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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