Free evolution on algebras with two states
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Publication:3404380
DOI10.1515/CRELLE.2010.003zbMath1195.46069arXiv0803.4280MaRDI QIDQ3404380
Publication date: 9 February 2010
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.4280
free convolutionfree Meixner distributionBoolean probabilityconditionally free probability theorytheory of two-state algebras
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
Related Items (5)
Relations between convolutions and transforms in operator-valued free probability ⋮ Shifted substitution in non-commutative multivariate power series with a view toward free probability ⋮ Bochner-Pearson-type characterization of the free Meixner class ⋮ Multi-variable subordination distributions for free additive convolution ⋮ Convolution powers in the operator-valued framework
Cites Work
- The conditional expectation as estimator of normally distributed random variables with values in infinitely dimensional Banach spaces
- Decompositions of the free additive convolution
- Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
- \(\eta\)-series and a Boolean Bercovici--Pata bijection for bounded \(k\)-tuples
- Free Meixner states
- Some dispersive estimates for Schrödinger equations with repulsive potentials
- Orthogonal polynomials with a resolvent-type generating function
- On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution
- Appell polynomials and their relatives II. Boolean theory
- INFINITE DIVISIBILITY FOR THE CONDITIONALLY FREE CONVOLUTION
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