Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

DOI10.1090/memo/0627zbMath0935.46056OpenAlexW2002490441MaRDI QIDQ3840054

Publication date: 7 February 1999

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

Full work available at URL: https://doi.org/10.1090/memo/0627

zbMATH Keywords

free convolution free probability theory stochastic differential equations moment non-crossing partitions Gaussian approximations SDE reduced free product operator-valued stochastic processes $B$-valued stochastic processes CBPD combinatorial theory of Voiculescu's reduced free product compound B-Poisson distributions cumulant functions Gaussian and compound Poisson distributions non-crossing cumulants operator-valued free probability theory operator-valued multiplicative functions random variable on a full Fock space

Mathematics Subject Classification ID

Partitions of sets (05A18) Probability distributions: general theory (60E05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Combinatorics of partially ordered sets (06A07) Free probability and free operator algebras (46L54) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Free products of (C^*)-algebras (46L09)

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