Convolution powers in the operator-valued framework
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Publication:2839389
DOI10.1090/S0002-9947-2012-05736-9zbMath1277.46031arXiv1107.2894MaRDI QIDQ2839389
Michael Anshelevich, Alexandru Nica, Maxime Février, Serban Teodor Belinschi
Publication date: 5 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.2894
free Brownian motionconvolution powersBoolean convolutionfree additive convolutionoperator-valued noncommutative probability space
Free probability and free operator algebras (46L54) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)
Related Items (11)
Relations between convolutions and transforms in operator-valued free probability ⋮ Analytic subordination for bi-free convolution ⋮ Operator-valued Jacobi parameters and examples of operator-valued distributions ⋮ Analytic function theory for operator-valued free probability ⋮ Spectral properties of polynomials in independent Wigner and deterministic matrices ⋮ Tree convolution for probability distributions with unbounded support ⋮ Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup ⋮ Operator-valued chordal Loewner chains and non-commutative probability ⋮ Nonuniversality of fluctuations of outliers for Hermitian polynomials in a complex Wigner matrix and a spiked diagonal matrix ⋮ On operator-valued infinitesimal Boolean and monotone independence ⋮ Fractional free convolution powers
Cites Work
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- Infinite divisibility and a non-commutative Boolean-to-free Bercovici-Pata bijection
- Atoms and regularity for measures in a partially defined free convolution semigroup
- Addition of certain non-commuting random variables
- \(A\)-valued semicircular systems
- Stable laws and domains of attraction in free probability theory
- Non-commutative functions and the non-commutative free Lévy-Hinčin formula
- \(\eta\)-series and a Boolean Bercovici--Pata bijection for bounded \(k\)-tuples
- Free evolution on algebras with two states
- Lectures on the Combinatorics of Free Probability
- On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution
- FREE BROWNIAN MOTION AND EVOLUTION TOWARDS ⊞-INFINITE DIVISIBILITY FOR k-TUPLES
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- On the multiplication of free N -tuples of noncommutative random variables
- Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
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