Series of iterated quantum stochastic integrals

Stéphane Attal; Robin L. Hudson

Séminaire de probabilités de Strasbourg (2000)

  • Volume: 34, page 157-170

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Attal, Stéphane, and Hudson, Robin L.. "Series of iterated quantum stochastic integrals." Séminaire de probabilités de Strasbourg 34 (2000): 157-170. <http://eudml.org/doc/114034>.

@article{Attal2000,
author = {Attal, Stéphane, Hudson, Robin L.},
journal = {Séminaire de probabilités de Strasbourg},
language = {eng},
pages = {157-170},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Series of iterated quantum stochastic integrals},
url = {http://eudml.org/doc/114034},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Attal, Stéphane
AU - Hudson, Robin L.
TI - Series of iterated quantum stochastic integrals
JO - Séminaire de probabilités de Strasbourg
PY - 2000
PB - Springer - Lecture Notes in Mathematics
VL - 34
SP - 157
EP - 170
LA - eng
UR - http://eudml.org/doc/114034
ER -

References

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  1. [At1] Attal S. : "Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space", Comm. Math. Phys.175, (1996), p. 43-62. Zbl0843.46046MR1370086
  2. [At2] Attal S. : "Semimartingales non commutatives et applications aux endomorphismes browniens", Thèse de Doctorat, Univ. L. Pasteur, Strasbourg (1993). MR1309245
  3. [At3] Attal S. : "Problèmes d'unicité dans les représentations d'opérateurs sur l'espace de Fock", Séminaire de probabilités XXVI, Springer VerlagL.N.M.1526 (1992), p. 619-632. Zbl0764.60062MR1232025
  4. [B-L] Belavkin V.P. & Lindsay J.M. : "The kernel of a Fock space operator II", Quantum Prob. & Rel. TopicsIX, World Scientific p. 87-94. 
  5. [CEH] Cohen P.B., Eyre T.W.M. & Hudson R.L. : "Higher order Ito product formula, and generators of evolutions and flows", Int. Journ. Theor. Phys., 34 (1995), p. 1481-1486. Zbl0850.81035
  6. [Der] Dermoune A. : "Formule de composition pour une classe d'opérateurs", Séminaire de probabilités XXIV, Springer VerlagL.N.M.1426 (1990), p 397-401. Zbl0711.60059MR1071556
  7. [HP1] Hudson R.L. & Parthasarathy K.R. : "Quantum Itô's formula and stochastic evolutions", Comm. Math. Phys;93 (1984), p 301-323. Zbl0546.60058
  8. [HP2] Hudson R.L. & Parthasarathy K.R. : "The Casimir chaos map for U(N)", Tatra Mountains Mathematicals Proceedings3 (1993), p 81-88. Zbl0798.60068
  9. [L-P] Lindsay J.M. & Parthasarathy K.R. : "Cohomology of power sets with applications in quantum probability", Comm. in Math. Phys.124 (1989), p. 337-364. Zbl0678.60041
  10. [Maa] Maassen H. : "Quantum Markov processes on Fock space described by integral kernels", Quantum Prob. & Appl.II, Springer VerlagL.N.M.11361985, p 361-374. 
  11. [Me1] Meyer P.A.: "Quantum probability for probabilists", second edition, Springer VerlagL.N.M.1538, (1995). Zbl0877.60079MR1222649
  12. [Me2] Meyer P.A. : "Eléments de probabilités quantiques", Séminaire de Probabilités XX, Springer VerlagL.N.M.1204 (1986), p 186-312. Zbl0604.60001MR942022
  13. [Par] Parthasarathy K.R. : "An introduction to quantum stochastic calculus", Monographs in Mathematics, Birkhäuser, 1992. Zbl0751.60046MR1164866

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