An operad of non-commutative independences defined by trees
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Publication:5856646
DOI10.4064/dm797-6-2020zbMath1472.46068arXiv1901.09158OpenAlexW3081641576MaRDI QIDQ5856646
Publication date: 29 March 2021
Published in: Dissertationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.09158
non-commutative independence\(\mathcal{T} \)-free convolution\(\mathcal{T} \)-free independence\(\mathcal{T} \)-free product
Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Graph operations (line graphs, products, etc.) (05C76)
Related Items (10)
Relations between convolutions and transforms in operator-valued free probability ⋮ Tree convolution for probability distributions with unbounded support ⋮ Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Boolean cumulants and subordination in free probability ⋮ Towards a classification of multi-faced independence: a representation-theoretic approach ⋮ Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants ⋮ Using Boolean cumulants to study multiplication and anti-commutators of free random variables ⋮ Unnamed Item ⋮ Motzkin path decompositions of functionals in noncommutative probability
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