Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 199-223.
@article{RSMUP_1994__91__199_0,
author = {Mancino, Maria Elvira},
title = {Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups},
journal = {Rendiconti del Seminario Matematico della Universit\a di Padova},
pages = {199--223},
publisher = {Seminario Matematico of the University of Padua},
volume = {91},
year = {1994},
zbl = {0803.60053},
mrnumber = {1289637},
language = {en},
url = {http://www.numdam.org/item/RSMUP_1994__91__199_0/}
}
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Mancino, Maria Elvira. Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups. Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 199-223. http://www.numdam.org/item/RSMUP_1994__91__199_0/`

[1] L. Accardi, On the quantum Feynman-Kac formula, Rend. Sem. Mat. Fis. Milano, 48 (1978). | MR 573541 | Zbl 0437.60030

[2] L. Accardi - F. FAGNOLA - J. QUAEGEBEUR, A representation free quantum stochastic calculus, J. Funct. Anal., 104 (1992). | MR 1152463 | Zbl 0759.60068

[3] A.M. Chebotarev, The theory of the conservative dynamical semigroups and its applications, Preprint MIEM n. 1, March 1990. | MR 1164679 | Zbl 00754506

[4] F. Fagnola, Characterization of isometric and unitary weakly differentiable cocycles in Fock space, Quantum Probability, VIII (1993). | MR 1258327

[5] F. Fagnola, On quantum stochastic integration with respect to «free» noises, Quantum Probability and Related Topics, VI (1991). | MR 1149833 | Zbl 0953.60527

[6] F. Fagnola - M. Mancino, Free noise dilation of semigroups of countable state Markov processes, Quantum Probability and Related Topics, VII (1992). | MR 1186661 | Zbl 0789.47026

[7] B. Kummerer - R. Speicher, Stochastic integration on the Cuntz algebra O∞, SFB-Preprint n. 602, Heidelberg, 1990. | Zbl 0787.46052

[8] A. Mohari - K.R. Parthasarathy, On a class of generalized Evans-Hudson flows related to classical Markov processes, Preprint, I.S.I. Delhi Centre, 1991. | Zbl 0797.60073

[9] K.R. Parthasarathy, An introduction to quantum stochastic calculus, I.S.I. New Delhi, 1990. | Zbl 0751.60046

[10] R. Speicher, A new example of «independence» and «white noise », Probab. Th. Rel. Fields, 84 (1990), pp. 141-159. | MR 1030725 | Zbl 0671.60109