Realization of free white noises
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Publication:758016
DOI10.1007/BF01189934zbMath0724.60104OpenAlexW2057167521MaRDI QIDQ758016
Michael Schürmann, Roland Speicher, P. G. Glockner
Publication date: 1992
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01189934
Free probability and free operator algebras (46L54) Other physical applications of random processes (60K40) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)
Related Items (9)
Multidimensional compound Poisson distributions in free probability ⋮ Orthogonal polynomials with a resolvent-type generating function ⋮ Addition of freely independent random variables ⋮ The Lévy-Itô decomposition in free probability ⋮ Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces ⋮ Schoenberg correspondence on dual groups ⋮ An operad of non-commutative independences defined by trees ⋮ Free stochastic measures via noncrossing partitions ⋮ A Lévy theorem for free noises
Cites Work
- Unnamed Item
- Quantum Ito's formula and stochastic evolutions
- Stochastic integration on the full Fock space with the help of a kernel calculus
- Quantum stochastic processes with independent additive increments
- Quasi-free quantum stochastic integrals for the CAR and CCR
- Fermion Ito's formula and stochastic evolutions
- Quantum independent increment processes on superalgebras
- Addition of certain non-commuting random variables
- A new example of `independence' and `white noise'
- On \(O_ n\).
- The Ito-Clifford integral
- Limit laws for random matrices and free products
- Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
- Simple \(C^*\)-algebras generated by isometries
- Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations
- Free Products of C ∗ -Algebras
- Random Matrices in Physics
- On Wigner's semicircle law for the eigenvalues of random matrices
- Quantum stochastic processes
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