Algebraic groups in non-commutative probability theory revisited
DOI10.1142/S021902572450005XMaRDI QIDQ6616135
Could not fetch data.
Publication date: 8 October 2024
Published in: (Search for Journal in Brave)
statescumulantsHopf algebrashuffle algebrafree productadditive convolutionpre-Lie algebrauniversal products
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Nonassociative algebras satisfying other identities (17A30) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)
Cites Work
- Free probability and random matrices
- A group-theoretical approach to conditionally free cumulants
- Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
- A new example of `independence' and `white noise'
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Monotone, free, and Boolean cumulants: a shuffle algebra approach
- Lattices and ordered algebraic structures
- White noise on bialgebras
- The monotone cumulants
- Relations between cumulants in noncommutative probability
- Quantum Lévy processes on dual groups
- Cumulant-cumulant relations in free probability theory from Magnus' expansion
- THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
- Free Random Variables
- Lectures on the Combinatorics of Free Probability
- The Splitting Process in Free Probability Theory
- Non-commutative notions of stochastic independence
- Classical Hopf Algebras and Their Applications
- Shuffle group laws: applications in free probability
- Non-commutative stochastic independence and cumulants
- Cumulants, free cumulants and half-shuffles
- Hopf-algebraic Deformations of Products and Wick Polynomials
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
This page was built for publication: Algebraic groups in non-commutative probability theory revisited
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6616135)