Skip to main content

The Q-matrix problem

Première Partie: EXPOSES 1974/1975

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 511)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. A. BENVENISTE and J. JACOD, Systèmes de Lévy des processus de Markov, Intent. Math. 21 (1973), pp. 183–198.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J.L. DOOB, State-spaces for Markov chains, Trans. Amer. Math. Soc. 149 (1970), pp. 279–305.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. D. FREEDMAN, Approximating Markov chains, Holden-Day 1972.

    Google Scholar 

  4. R.K. GETOOR, Markov processes: Ray processes and right processes, Lecture Notes vol. 440, Springer 1975.

    Google Scholar 

  5. R.K. GETOOR and M.J. SHARPE. The Ray space of a right process, to appear in Ann. Inst. Fourier Grenoble.

    Google Scholar 

  6. C.T. HOU, The criterion for uniqueness of a Q process, Scientia Sinca vol. XVII No. 2 (1974), pp. 141–159.

    MathSciNet  MATH  Google Scholar 

  7. K. ITO, Poisson point processes attached to Markov processes, Proc. 6th Berkeley Symposium, vol. III, (1971), pp. 225–240.

    Google Scholar 

  8. D.G. KENDALL, A totally unstable denumerable Markov process, Quarterly J. Math., Oxford, vol. 9, No. 34 (1958), pp. 149–160.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. B. MAISONNEUVE, Systèmes régénératifs, Astérisque 15, Société Mathématique de France (1974).

    Google Scholar 

  10. J. NEVEU, Lattice methods and subMarkovian processes, Proc. 4th Berkeley Symposium, vol. 2, (1960) pp. 347–391.

    MathSciNet  Google Scholar 

  11. J. NEVEU, Une généralisation des processus à accroissements positifs indépendants, Abh. Math. Sem. Univ. Hamburg 25 (1961), pp. 36–61.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. NEVEU, Sur les états d'entrée et les états fictifs d'un processus de Markov. Ann. Inst. Henri Poincaré 17 (1962), pp. 323–337.

    MathSciNet  MATH  Google Scholar 

  13. J. NEVEU, Entrance, exit and fictitious states for Markov chains, Proc. Aarhus Colloq. Combinatorial Probability (1962), pp. 64–68.

    Google Scholar 

  14. G.E.H. REUTER, paper on HOU's uniqueness theorem (to appear in ZfW).

    Google Scholar 

  15. G.E.H. REUTER and P.W. RILEY, The Feller property for Markov semigroups on a countable state-space, J. London Math. Soc. (2), 5(1972), pp. 267–275.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. D. WILLIAMS, A note on the Q-matrices of Markov chains, Z. Wahrscheinlichkeitstheorie verw. Gebiete 7 (1967), pp. 116–121.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. D. WILLIAMS, Fictitious states, coupled laws and local time, ZfW 11 (1969), pp. 288–310.

    MathSciNet  MATH  Google Scholar 

  18. D. WILLIAMS, On operator semigroups and Markov groups, ZfW 13 (1969), pp. 280–285.

    MathSciNet  MATH  Google Scholar 

  19. D. WILLIAMS, Brownian motions and diffusions as Markov processes, Bull. London Math. Soc. 6 (1974), 257–303.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. D. WILLIAMS, The Q-matrix problem for Markov chains (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Williams, D. (1976). The Q-matrix problem. In: Meyer, P.A. (eds) Séminaire de Probabilités X Université de Strasbourg. Lecture Notes in Mathematics, vol 511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101109

Download citation

  • DOI: https://doi.org/10.1007/BFb0101109

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07681-0

  • Online ISBN: 978-3-540-38197-6

  • eBook Packages: Springer Book Archive