Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations
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Publication:1826218
DOI10.1007/BF01198315zbMath0685.60070MaRDI QIDQ1826218
Publication date: 1990
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic mechanics (including stochastic electrodynamics) (81P20) Stochastic analysis (60H99)
Related Items (8)
Quantum stochastic differential equations on *-bialgebras ⋮ Characterization of unitary processes with independent and stationary increments ⋮ Haar states and Lévy processes on the unitary dual group ⋮ Realization of free white noises ⋮ Unitary processes with independent increments and representations of Hilbert tensor algebras ⋮ Quantum stochastic processes with independent additive increments ⋮ Quantum q-white noise and a q-central limit theorem ⋮ Deformations of cocycles, quantum Lévy processes and quantum stochastic flows
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- Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
- On the cohomology groups of an associative algebra
- On characterizing quantum stochastic evolutions
- Quantum stochastic processes
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