Fermion martingales
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Publication:1066556
DOI10.1007/BF00332314zbMath0578.60063OpenAlexW4250036987MaRDI QIDQ1066556
Publication date: 1986
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00332314
Clifford martingalesClifford processesnon-commutative analogue of the Kunita-Watanabe theoremnon-commutative stochastic calculus
Free probability and free operator algebras (46L54) Martingales with continuous parameter (60G44) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic analysis (60H99)
Related Items (13)
Quantum and non-causal stochastic calculus ⋮ Quantum stochastic calculus with maximal operator domains. ⋮ A Note on P-Times and Time Projections ⋮ Stochastic integral representations of quantum martingales on multiple Fock space ⋮ On the reflection process of quantum stochastic calculus ⋮ Fermion Ito's formula. II: The gauge process in fermion Fock space ⋮ Stochastic integral representation theorem for quantum semimartingales. ⋮ A non-commutative random stopping theorem ⋮ Quasi-free stochastic integral representation theorems over the CCR ⋮ On the Order Structure of Time Projection ⋮ Quasifree stochastic cocycles and quantum random walks ⋮ Random Times and Time Projections ⋮ UNIQUENESS OF INTEGRANDS IN QUANTUM STOCHASTIC INTEGRAL
Cites Work
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- Quantum Ito's formula and stochastic evolutions
- Quasi-free quantum stochastic integrals for the CAR and CCR
- Fermion Ito's formula and stochastic evolutions
- A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
- On non-Fock boson stochastic integrals
- Completely positive quasi-free maps on the CAR algebra
- The Ito-Clifford integral
- Square integrable martingales orthogonal to every stochastic integral
- Tomita's theory of modular Hilbert algebras and its applications
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