Skip to main content
SpringerLink
Log in

On quantum extensions of the Azéma martingale semigroup

  • Conference paper
  • First Online:
Séminaire de Probabilités XXIX

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

  • 435 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  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.

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  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 

Download references

Author information

Authors and Affiliations

  1. Applied Mathematics Department, Moscow Institute for Electronics and Mathematics, Bolshoi Vusovski per. 3/12, 109028, Moscow, Russia

    A. M. Chebotarev

  2. Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti, 2, I-56127, Pisa, Italy

    F. Fagnola

Authors
  1. A. M. Chebotarev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Fagnola
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jacques Azéma Michel Emery Paul André Meyer Marc Yor

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60219-4

  • Online ISBN: 978-3-540-44744-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation