Results 31 to 40 of about 490 (43)
, 2012 We investigate Laha-Lukacs properties of noncommutative random variables (processes). We prove that some families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3.
Ejsmont, Wiktor
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Limit distributions of Gaussian block ensembles
, 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
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Dual Lukacs regressions for non-commutative variables
, 2013 Dual Lukacs type characterizations of random variables in free probability are studied here. First, we develop a freeness property satisfied by Lukacs type transformations of free-Poisson and free-Binomial non-commutative variables which are free. Second,
Szpojankowski, Kamil, Wesolowski, Jacek
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Decomposition results for Gram matrix determinants
, 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
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]
Lett Math Phys, 2022 Pérez-Sánchez CI.
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Finite free convolutions of polynomials. [PDF]
Probab Theory Relat Fields, 2022 Marcus AW, Spielman DA, Srivastava N.
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On the SL(2,ℂ) quantum 6j-symbols and their relation to the hyperbolic volume
, 2013 F. Costantino, J. Murakami
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Characterization of non-commutative free Gaussian variables
, 2018 A. Bose, Apratim Dey, W. Ejsmont
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Free relative entropy for measures and a corresponding perturbation theory
, 2002 F. Hiai, Masaru Mizuo, D. Petz
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The asymptotic behavior of free additive convolution
, 2008 H. Bercovici, Jiun-Chau Wang
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