Haar states and Lévy processes on the unitary dual group
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Publication:5965171
DOI10.1016/j.jfa.2015.12.004zbMath1334.15094arXiv1505.08083OpenAlexW2964289170MaRDI QIDQ5965171
Guillaume Cébron, Michaël Ulrich
Publication date: 2 March 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.08083
Lévy processesconvolutionrandom matricesunitary matrixdual groupsHaar statesHaar tracequantum probabilityunitary dual group
Processes with independent increments; Lévy processes (60G51) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Orthogonal matrices (15B10)
Related Items (4)
On the partial transpose of a Haar unitary matrix ⋮ Universality of free random variables: atoms for non-commutative rational functions ⋮ Stochastic aspects of the unitary dual group ⋮ De Finetti theorems for the unitary dual group
Cites Work
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- Matricial model for the free multiplicative convolution
- Multiplicative monotonic convolution
- Limit laws for random matrices and free products
- \(H\)-algebras
- Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
- \(C^*\)-algebras generated by elements of a unitary matrix
- Quantum stochastic calculus on full Fock modules
- White noise on bialgebras
- Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations
- Free products of compact quantum groups
- Schoenberg correspondence on dual groups
- Quantum Lévy processes on dual groups
- Free Random Variables
- Construction of a free L\'evy process as high-dimensional limit of a Brownian motion on the Unitary group
- Lectures on the Combinatorics of Free Probability
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- $R$-diagonal pairs - a common approach to Haar unitaries and circular elements
- Non-commutative notions of stochastic independence
- THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS
- The master field on the plane
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