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On quantum extensions of the Azéma martingale semigroup

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1613)

Keywords

  • Stochastic Differential Equation
  • Multiplication Operator
  • Infinitesimal Generator
  • Straightforward Computation Yield
  • Quantum Dynamical Semigroup

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References

  1. J. Azéma, M. Yor: Etude d’une martingale remarquable. Sém. Prob. XXIII (1989), 88–130.

    MathSciNet  MATH  Google Scholar 

  2. A.M. Chebotarev: The theory of conservative dynamical semigroups and its applications. Preprint MIEM n.1 March 1990.

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  3. A.M. Chebotarev, F. Fagnola: Sufficient conditions for conservativity of quantum dynamical semigroups. J. Funct. Anal. 118 (1993), 131–153.

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  4. E.B. Davies: Quantum dynamical semigroups and the neutron diffusion equation. Rep. Math. Phys. 11 (1977), 169–188.

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  5. M. Emery: On the Azéma martingales. Sém. Prob. XXIII (1989), 67–87.

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  6. M. Emery: Sur les martingales d’Azéma (Suite). Sém. Prob. XXIV (1990), 442–447.

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  7. F. Fagnola: Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Quantum Probability and Related Topics VII pp. 139–148.

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  8. A. Mohari, K.B. Sinha: The minimal quantum dynamical semigroup and its dilations. Proc. Indian Ac. Sc. 102 n.3 (1992), 159–173.

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  9. K.R. Parthasarathy: Remarks on the quantum stochastic differential equation dX=(c−1)XdΛ+dQ. I.S.I. Technical Report n. 8809. (1988).

    Google Scholar 

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© 1995 Springer-Verlag

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Chebotarev, A.M., Fagnola, F. (1995). On quantum extensions of the Azéma martingale semigroup. In: Azéma, J., Emery, M., Meyer, P.A., Yor, M. (eds) Séminaire de Probabilités XXIX. Lecture Notes in Mathematics, vol 1613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094194

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  • DOI: https://doi.org/10.1007/BFb0094194

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