Quantum Lévy processes on dual groups

DOI10.1007/s00209-005-0793-xzbMath1095.46040OpenAlexW2052646923MaRDI QIDQ2574935

Michael Schürmann, Anis Ben Ghorbal

Publication date: 5 December 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0793-x

zbMATH Keywords

Lévy processes on bialgebras

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)

Related Items (5)

Non-commutative stochastic independence and cumulants ⋮ Towards a classification of multi-faced independence: a representation-theoretic approach ⋮ Schoenberg correspondence on dual groups ⋮ Haar states and Lévy processes on the unitary dual group ⋮ Categorial independence and Lévy processes

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Quantum independent increment processes on superalgebras
• \(H\)-algebras
• Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
• Noncommutative Brownian motion in monotone Fock space
• White noise on bialgebras
• Direct sums of tensor products and non-commutative independence
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• MONOTONE INDEPENDENCE IS ASSOCIATIVE
• Non-commutative notions of stochastic independence
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