Skip to main content
SpringerLink
Log in

Topologies metrisables rendant continues les trajectoires d'un processus

  • Conference paper
  • First Online:
Séminaire de Probabilités XVI 1980/81

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 920))

  • 369 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. X. FERNIQUE, Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes in Math. 480, (1975), 1–91.

    Article  MathSciNet  MATH  Google Scholar 

  2. X. FERNIQUE, Régularité de fonctions aléatoires non gaussiennes, Ecole d'Eté de Saint-Flour 1981, (à paraître).

    Google Scholar 

  3. K. ITO, Canonical measurable random functions, Proc. Internat. Conf. on Functional Analysis and Related topics, (Tokyo, 1969), 369–377.

    Google Scholar 

  4. K. ITO et M. NISIO, On the oscillation of Gaussian processes, Math. Scand. 22, (1968), 209–223.

    Article  MathSciNet  MATH  Google Scholar 

  5. V.A. ROHLIN, On the fundamental ideas of measure theory, Translations Amer. Math. Soc. série 1, vol. 10 (Functional Analysis and Measure Theory), (1962), 1–54.

    Google Scholar 

  6. H. SATO et Y. OKAZAKI, Separabilities of a Gaussian Radon measure, Ann. Inst. H. Poincaré A 11, (1975), 287–298.

    MathSciNet  MATH  Google Scholar 

  7. H. SATO, Souslin support and Fourier expansions of a Gaussian Radon measure, Lecture Notes in Math. 860, (1980), 299–313.

    Article  Google Scholar 

  8. M. TALAGRAND, La τ-régularité des mesures gaussiennes, Z. Wahrs. verw. Geb., 57, (1981), 213–221.

    Article  MathSciNet  MATH  Google Scholar 

  9. B.S. TSIRELSON, Some properties of Lacunary series and Gaussian measures that are connected with uniform versions of the Egorov and Lusin properties, Theory Prob. and Appl. 20, (1975), 652–655.

    Article  Google Scholar 

  10. B.S. TSIRELSON, Natural modification of random processes and its application to random functional series and to Gaussian measures, Zap. Nauchn. Sem. Leningrad Otdel Mat. Inst. Steklov (LOMI) 55, (1975), 53–63 (en Russe).

    Google Scholar 

  11. B.S. TSIRELSON, Complement to a paper on natural modifications, Zap. Nauchn. Sem. Leningrad LOMI 72, (1976), 201–211 (en Russe).

    Google Scholar 

  12. N.C. JAIN et G. KALLIANPUR, Oscillation function of a multiparameter Gaussian process, Nagoya Math. J. 47, (1972), 15–28.

    Article  MathSciNet  MATH  Google Scholar 

  13. Yu.K. BELYAEV, Local properties of the sample functions of stationary Gaussian processes, Theory Prob. and Appl. 5, (1960), 117–120.

    Article  MathSciNet  MATH  Google Scholar 

  14. Yu.K. BELYAEV, Continuity and Hölder's conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Symposium, vol. 2, (1961), 23–33.

    MathSciNet  Google Scholar 

  15. J. HOFFMANN-JORGENSEN, Integrability of semi-norms, the O−I law and the affine kernel for product measures, Studia Math. 61, (1977), 137–159.

    MathSciNet  MATH  Google Scholar 

  16. R.M. DUDLEY, The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Funct. Anal. 1, (1967), 290–330.

    Article  MathSciNet  MATH  Google Scholar 

  17. A. PREKOPA, On stochastic set functions, Acta Math. Acad. Scient. Hung. 7, (1956) 215–262 et 8, (1957), 337–400.

    Article  MathSciNet  MATH  Google Scholar 

  18. C. BORELL, Gaussian Radon measures on locally convex spaces, Math. Scand. 38, (1976), 265–284. *** DIRECT SUPPORT *** A00J4394 00014

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Clermont II, B.P. 45, 63170, AUBIERE

    S. Chevet

Authors
  1. S. Chevet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jacques Azéma Marc Yor

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Chevet, S. (1982). Topologies metrisables rendant continues les trajectoires d'un processus. In: Azéma, J., Yor, M. (eds) Séminaire de Probabilités XVI 1980/81. Lecture Notes in Mathematics, vol 920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092815

Download citation

  • DOI: https://doi.org/10.1007/BFb0092815

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11485-7

  • Online ISBN: 978-3-540-39158-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation