Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators
DOI10.1007/978-3-030-76473-9_7OpenAlexW4206242397MaRDI QIDQ5048619
Ilwoo Cho, Palle E. T. Jorgensen
Publication date: 16 November 2022
Published in: New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-76473-9_7
projectionsfree probabilityshift operators(weighted-)semicircular elementsBanach \(\ast\)-probability spacesinteger shiftsrestricted integer shifts
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Representations of (nonselfadjoint) operator algebras (47L55) Automorphisms of selfadjoint operator algebras (46L40) Operator algebras with symbol structure (47L15)
Cites Work
- Vector-valued semicircular limits on the free Poisson chaos
- On the semicircular law of large-dimensional random quaternion matrices
- On operator-valued semicircular random variables
- Reproducing kernel Hilbert spaces generated by the binomial coefficients
- Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
- Lévy-Hinčin type theorems for multiplicative and additive free convolution
- Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
- Acting semicircular elements induced by orthogonal projections on von-Neumann-algebras
- Applications of realizations (aka linearizations) to free probability
- Free probability, random matrices, and representations of non-commutative rational functions
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- The central limit theorem for free additive convolution
- Banach-space operators acting on semicircular elements induced by orthogonal projections
- Noncommutative random variables and spectral problems in free product \(C^*\)-algebras
- Noncommutative probability of type D
- An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions
- Free Random Variables
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- Semicircular elements induced by p-adic number fields
- On the limit of the spectral distribution of large-dimensional random quaternion covariance matrices
- Multi-dimensional Semicircular Limits on the Free Wigner Chaos
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