On quantum extensions of the Azéma martingale semi-group

Alexander M. Chebotarev; Franco Fagnola

Séminaire de probabilités de Strasbourg (1995)

  • Volume: 29, page 1-16

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Chebotarev, Alexander M., and Fagnola, Franco. "On quantum extensions of the Azéma martingale semi-group." Séminaire de probabilités de Strasbourg 29 (1995): 1-16. <http://eudml.org/doc/113902>.

@article{Chebotarev1995,
author = {Chebotarev, Alexander M., Fagnola, Franco},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {quantum extensions of classical Markovian semigroups; Azéma martingales; strongly continuous contraction semigroup; minimal quantum dynamical semigroup; ultraweakly continuous extension},
language = {fre},
pages = {1-16},
publisher = {Springer - Lecture Notes in Mathematics},
title = {On quantum extensions of the Azéma martingale semi-group},
url = {http://eudml.org/doc/113902},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Chebotarev, Alexander M.
AU - Fagnola, Franco
TI - On quantum extensions of the Azéma martingale semi-group
JO - Séminaire de probabilités de Strasbourg
PY - 1995
PB - Springer - Lecture Notes in Mathematics
VL - 29
SP - 1
EP - 16
LA - fre
KW - quantum extensions of classical Markovian semigroups; Azéma martingales; strongly continuous contraction semigroup; minimal quantum dynamical semigroup; ultraweakly continuous extension
UR - http://eudml.org/doc/113902
ER -

References

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  1. [1] J. Azéma, M. Yor: Etude d'une martingale remarquable. Sém. Prob.XXIII (1989), 88-130. Zbl0743.60045MR1022900
  2. [2] A.M. Chebotarev: The theory of conservative dynamical semigroups and its applications. Preprint MIEM n.1 March 1990. 
  3. [3] A.M. Chebotarev, F. Fagnola: Sufficient conditions for conservativity of quantum dynamical semigroups. J. Funct. Anal.118 (1993), 131-153. Zbl0801.46083
  4. [4] E.B. Davies: Quantum dynamical semigroups and the neutron diffusion equation. Rep. Math. Phys.11 (1977), 169-188 . Zbl0372.47020
  5. [5] M. Emery: On the Azéma martingales. Sém. Prob.XXIII (1989), 67-87. Zbl0753.60045
  6. [6] M. Emery: Sur les martingales d'Azéma (Suite). Sém. Prob.XXIV (1990), 442-447. Zbl0712.60048MR1071559
  7. [7] F. Fagnola: Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Quantum Probability and Related TopicsVII pp. 139-148. Zbl0789.47027MR1186660
  8. [8] A. Mohari, K.B. Sinha: The minimal quantum dynamical semigroup and its dilations. Proc. Indian Ac. Sc.102 n.3 (1992), 159-173. Zbl0766.60119MR1213635
  9. [9] K.R. Parthasarathy: Remarks on the quantum stochastic differential equation dX = (c-1)XdΛ + dQ. I.S.I. Technical Report n. 8809. (1988). 

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