Non-crossing linked partitions, the partial order ≪ on 𝑁𝐶(𝑛), and the 𝑆-transform

DOI10.1090/S0002-9939-09-10218-6zbMath1201.46060arXiv0901.1175MaRDI QIDQ3552118

Alexandru Nica

Publication date: 13 April 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1175

zbMATH Keywords

free probabilitymoment-cumulant formulaBoolean probabilityreciprocal \(S\)-transform

Mathematics Subject Classification ID

Partitions of sets (05A18) Free probability and free operator algebras (46L54)

Related Items (3)

Asymptotic distributions of Wishart type products of random matrices ⋮ Noncrossing partitions, Bruhat order and the cluster complex ⋮ Remarks on a free analogue of the beta prime distribution

Cites Work

• Unnamed Item
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• Multilinear function series and transforms in free probability theory
• Linked partitions and linked cycles
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Convolution and limit theorems for conditionally free random variables
• Noncrossing partitions
• \(\eta\)-series and a Boolean Bercovici--Pata bijection for bounded \(k\)-tuples
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• Hopf algebras and the logarithm of the $S$-transform in free probability
• FREE BROWNIAN MOTION AND EVOLUTION TOWARDS ⊞-INFINITE DIVISIBILITY FOR k-TUPLES

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