Calcul stochastique non commutatif
Séminaire Bourbaki (1986-1987)
- Volume: 29, page 55-66
- ISSN: 0303-1179
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topMeyer, Paul-André. "Calcul stochastique non commutatif." Séminaire Bourbaki 29 (1986-1987): 55-66. <http://eudml.org/doc/110087>.
@article{Meyer1986-1987,
author = {Meyer, Paul-André},
journal = {Séminaire Bourbaki},
keywords = {stochastic differential equations; noncommutative (quantum) probability theory; noncommutative stochastic processes},
language = {fre},
pages = {55-66},
publisher = {Société Mathématique de France},
title = {Calcul stochastique non commutatif},
url = {http://eudml.org/doc/110087},
volume = {29},
year = {1986-1987},
}
TY - JOUR
AU - Meyer, Paul-André
TI - Calcul stochastique non commutatif
JO - Séminaire Bourbaki
PY - 1986-1987
PB - Société Mathématique de France
VL - 29
SP - 55
EP - 66
LA - fre
KW - stochastic differential equations; noncommutative (quantum) probability theory; noncommutative stochastic processes
UR - http://eudml.org/doc/110087
ER -
References
top- R.L. Hudson et K.R. ParthasarathyQuantum Ito's formula and stochastic evolutions, Comm. Math. Phys.1984, p. 301-323. Zbl0546.60058MR745686
- H. MaassenQuantum Markov processes on Fock space described by integral kernels. Quantum probability and applications II, p. 361-374. (Heidelberg1984, L. Accardi et W. von Waldenfels ed.) Lecture Notes in Math.1136. MR819517
- P.-A. Meyer - Éléments de probabilités quantiques, Sém. Prob.XX, p. 186-312 (J. Azéma et M. Yor éd.). Lecture Notes in Math.1204, Springer1986 (à suivre vol. XXI). Zbl0604.60001MR942022
- C. Barnett, R.F. Streater, I.F. Wilde - The Ito-Clifford Integral, J. Functional Anal.48, 1982 ; J. London M. Soc.27, 1983 ; Comm. Math. Phys.89, 1983 ; Zbl0492.46051MR674057
- J. Operator Theory11, 1984.
- Cf. C. Barnett et I. Wilde, J. Funct. Anal.58, 1984 ; D.B. Applebaum et R.L. Hudson, Comm. Math. Phys.96, 1984. MR759103
- R.L. Hudson, J.M. Lindsay - Uses of non-Fock brownian motion and a quantum martingale representation theorem. Quantum probability and applications II, Proceedings Heidelberg1984, Lecture Notes in Math.1136. Zbl0569.60055
- K.R. Parthasarathy et K.B. SinhaStochastic integral representation of bounded quantum martingales in Fock space, et Stop times in Fock space quantum stochastic calculus.
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