CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS

DOI10.1142/S0219025711004444zbMath1234.46053arXiv0907.5473OpenAlexW2147576071MaRDI QIDQ3095482

Takahiro Hasebe

Publication date: 2 November 2011

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

Full work available at URL: https://arxiv.org/abs/0907.5473

zbMATH Keywords

cumulantsfree independenceBoolean independencemonotone independenceconditionally free independence

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (13)

Non-commutative stochastic independence and cumulants ⋮ New characterization of two-state normal distribution ⋮ Combinatorics of NC-probability spaces with independent constants ⋮ Conditionally monotone independence II: multiplicative convolutions and infinite divisibility ⋮ Tree convolution for probability distributions with unbounded support ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Cyclic independence: Boolean and monotone ⋮ V-monotone independence ⋮ Conditionally monotone independence and the associated products of graphs ⋮ Unnamed Item ⋮ Monotone increment processes, classical Markov processes, and Loewner chains ⋮ Motzkin path decompositions of functionals in noncommutative probability ⋮ Non-commutative stochastic processes with independent increments

Cites Work

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