Bigèbres et probabilités, d'après M. Schurmann

P. A. Meyer

Recherche Coopérative sur Programme n°25 (1993)

  • Volume: 44, page 153-162

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Meyer, P. A.. "Bigèbres et probabilités, d'après M. Schurmann." Recherche Coopérative sur Programme n°25 44 (1993): 153-162. <http://eudml.org/doc/274952>.

@article{Meyer1993,
author = {Meyer, P. A.},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {153-162},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Bigèbres et probabilités, d'après M. Schurmann},
url = {http://eudml.org/doc/274952},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Meyer, P. A.
TI - Bigèbres et probabilités, d'après M. Schurmann
JO - Recherche Coopérative sur Programme n°25
PY - 1993
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 44
SP - 153
EP - 162
LA - fre
UR - http://eudml.org/doc/274952
ER -

References

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  1. [1] M. Schurmann Positive and conditionally positive linear functionals on coalgebras. Quantum Probability II, Springer LN 1136, 1985, p. 475-492. Zbl0581.16007MR819527
  2. [2] M. SchurmannNoncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations, Prob. Th. Rel. Fields, 84, 1990, p. 473-490. Zbl0685.60070MR1042061
  3. [3] M. SchurmannA class of representations of involutive bialgebras, Math. Proc. Cambridge Phil Soc, 107, 1990, p.149-175 Zbl0704.46040MR1021880
  4. [4] M. SchurmannThe Azéma martingales as components of quantum independent increment processes, Sem. Prob. XXV, Springer LN 1485, p. 24-30. Zbl0745.60043MR1187766
  5. [5] M. SchurmannWhite noise on involutive bialgebras, Quantum ProbabilityVI, 1992, p. 401-419, World Scientific. Zbl0932.60104MR1149841
  6. [6] M. SchurmannA central limit theorem for coalgebras, Probability Measures on Groups VIII, Springer LN 1210, 1986, p. 153-157. Zbl0629.46057MR879003
  7. [7] M. SchurmannInfinitely divisible states on cocommutative bialgebras, Probability Measures on Groups IX, Springer LN 1379, 1987, p. 310-324. Zbl0706.46042MR1020537
  8. [8] M. SchurmannNoncommutative stochastic processes with independent and stationary additive increments, J. Multiv. Anal, 38, 1990, p. 15-35. Zbl0694.46045MR1128934
  9. [9] M. SchurmannGaussian states on bialgebras, Quantum Probability V, Springer LN 1442, p. 347-367. Zbl0728.46042MR1091320
  10. [10] M. SchurmannQuantum q-white noise and a q-central limit theorem. Comm. Math. Phys., 140, 1991, p.589-615. Zbl0734.60048MR1130699
  11. Evans ( M.). Existence of quantum diffusions, Prob. Th. Rel. Fields, 81, 1989, p.473-483. Zbl0667.60060MR995806
  12. Evans ( M.) and Hudson ( R.L.). Multidimensional quantum diffusions, Quantum Probability III, Springer LN 1303, 1988, p. 69-88. Zbl0648.46056MR985812
  13. Glockner ( P.)· Quantum stochastic differential equations on *-bigebras, Math. Proc. Cambridge Phil. Soc, 109, 1991, p. 571-595. Zbl0747.60060MR1094755
  14. Hudson ( R.L.) and Parthasarathy ( K.R.). 1. Quantum Ito's formula and stochastic evolutions, Comm. Math. Phys., 93, 1984, p. 301-303. Zbl0546.60058MR745686
  15. Mohari ( A.). Quantum stochastic calculus with infinite degrees of freedom and its applications. PhD thesis, ISI Delhi 1992. 
  16. Mohari ( A.) and Sinha ( K.B.). Quantum stochastic flows with infinite degrees of freedom and countable state Markov processes. Sankhya (A), 52, 1990, p. 43-57. Zbl0719.60126MR1176275
  17. Parthasarathy ( K.R.). An Introduction to Quantum Stochastic Calculus, Birkhäuser, Basel1992. Zbl06106787MR1164866
  18. Von Waldenfels ( W.). Ito solution of the linear quantum stochastic differential equation describing light emission and absorption. Quantum Probability I, Springer LN 1055, 1984. Zbl0532.60055MR782919

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