Shifted substitution in non-commutative multivariate power series with a view toward free probability
DOI10.3842/sigma.2023.038zbMath1530.16034arXiv2204.01445OpenAlexW4303645213MaRDI QIDQ6115285
Nikolas Tapia, Frédéric Patras, Lorenzo Zambotti, Kurusch Ebrahimi-Fard
Publication date: 12 July 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.01445
pre-Lie algebracombinatorial Hopf algebranon-commutative probability theorymoments and cumulantsnon-commutative power series
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
- Unnamed Item
- Unnamed Item
- Joint cumulants for natural independence
- Free probability and random matrices
- Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
- Hopf algebras, renormalization and noncommutative geometry
- Monotone, free, and Boolean cumulants: a shuffle algebra approach
- The monotone cumulants
- Algebraic structures of B-series
- Quasi-shuffle algebras in non-commutative stochastic calculus
- Appell polynomials and their relatives. III: Conditionally free theory
- Relations between cumulants in noncommutative probability
- Free evolution on algebras with two states
- Lectures on the Combinatorics of Free Probability
- Appell polynomials and their relatives II. Boolean theory
- The Splitting Process in Free Probability Theory
- Appell polynomials and their relatives
- Classical Hopf Algebras and Their Applications
- Wick polynomials in noncommutative probability: a group-theoretical approach
- Shuffle group laws: applications in free probability
- Cumulants, free cumulants and half-shuffles
- Geometric Numerical Integration
- Hopf-algebraic Deformations of Products and Wick Polynomials
- B-Series
This page was built for publication: Shifted substitution in non-commutative multivariate power series with a view toward free probability
