Noncommutative probability of type D
From MaRDI portal
Publication:2974050
DOI10.1142/S0129167X17500100zbMath1373.46060arXiv1609.01049OpenAlexW2514023080MaRDI QIDQ2974050
Takahiro Hasebe, Wiktor Ejsmont, Marek Bożejko
Publication date: 6 April 2017
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.01049
Processes with independent increments; Lévy processes (60G51) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
Related Items
Spectral properties of certain operators on the free Hilbert space \mathfrak{F}[H_{1},...,H_{N} and the semicircular law] ⋮ Comparing Banach Spaces for Systems of Free Random Variables Followed by the Semicircular Law ⋮ Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators ⋮ Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability ⋮ Free random variables followed by the semicircular law ⋮ Fock space associated with quadrabasic Hermite orthogonal polynomials ⋮ Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view ⋮ Group dynamical systems on \(C^*\)-algebras generated by countable infinitely many semicircular elements ⋮ Free-Homomorphic Relations Induced by Certain Free Semicircular Families ⋮ Banach-space operators acting on semicircular elements induced by orthogonal projections ⋮ Certain Banach-Space Operators Acting on the Semicircular Elements Induced by Orthogonal Projections ⋮ Permutations, Moments, Measures ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications ⋮ Free Poisson Elements Induced by Orthogonal Projections
Cites Work
- Free monotone transport
- An example of a generalized Brownian motion
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Non-crossing partitions for classical reflection groups
- Conditional moments of \(q\)-Meixner processes
- Infinitesimal generators of \(q\)-Meixner processes
- The von Neumann algebras generated by \(t\)-Gaussians
- On a class of free Lévy laws related to a regression problem
- Fock space associated to Coxeter groups of type B
- Factoriality of \(q\)-Gaussian von Neumann algebras
- Noncrossing Partitions for the GroupDn
- Non-crossing cumulants of type B
- Remarks on \(t\)-transformations of measures and convolutions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Noncommutative probability of type D