DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS

DOI10.1142/S0219025707002750zbMath1142.05333arXivmath/0609329MaRDI QIDQ3502787

Luigi Accardi, Rafal Salapata, Romuald Lenczewski

Publication date: 20 May 2008

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609329

zbMATH Keywords

subordinationfree product of graphsfree additive convolutionorthogonal additive convolutionquantum decomposition\(s\)-free product of graphsmonotone additive convolutionsubordination branch

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10)

Related Items (13)

Asymptotic Spectral Distributions of Distance-k Graphs of Star Product Graphs ⋮ Conditionally strictly negative definite kernels ⋮ Lévy-Khintchine random matrices and the Poisson weighted infinite skeleton tree ⋮ Spectra of infinite graphs via freeness with amalgamation ⋮ Matricial \(R\)-transform ⋮ ON THE LOW-TEMPERATURE BEHAVIOR OF THE INFINITE-VOLUME IDEAL BOSE GAS ⋮ Graph products of operator algebras ⋮ Matricially free random variables ⋮ Conditionally monotone independence and the associated products of graphs ⋮ CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS ⋮ On the spectral distribution of distance-k graph of free product graphs ⋮ An operad of non-commutative independences defined by trees ⋮ Motzkin path decompositions of functionals in noncommutative probability

Cites Work

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• REDUCTION OF FREE INDEPENDENCE TO TENSOR INDEPENDENCE
• MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION
• BEC OF FREE BOSONS ON NETWORKS

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