Skip to main content
SpringerLink
Log in

Continuity of trajectories of random walks with infinitesimal steps

  • Mathematics And Systems, Computational Bearings
  • Conference paper
  • First Online:
Modeling and Control of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 121))

  • 177 Accesses

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. BENOIT E.: "Diffusions Discretes", prépublication Université de NICE Octobre 1988.

    Google Scholar 

  2. BENOIT E.: "Probabilités d'évènements externes — Lemmes de permanence", prépublication Université de Nice Octobre 1988.

    Google Scholar 

  3. BENOIT E., CANDELPERGHER B. and C. LOBRY: "Bifurcation Dynamiques avec bruit multiplicatif". Actes du colloque "Automatique non linéaire", Nantes 13–17 Juin 1988.

    Google Scholar 

  4. DIENER F.et G.REEB: Analyse Non Standard. Livre à paraitre.

    Google Scholar 

  5. DIENER M.: "Une initiation aux outils Non Standard", actes de l'école d'été Analyse Non Standard et représentation du réel, ORAN 8–12 septembre 1984, publication OPU-CNRS 1985.

    Google Scholar 

  6. LOBRY C.: "A propos du paradoxe de Wong et Zakaï". Actes des journées S.M.F. Mathématiques finitaires et Analyse Non Standard-CIRM-Mai 1985. Publications Université de Paris 7.

    Google Scholar 

  7. LUTZ R. and M. GOZE: "Nonstandard Analysis", Lecture Notes in Math. 881-1981-

    Google Scholar 

  8. NELSON E.: "Internal Set Theory" Bull. Amer. Math. Soc. 83–6 (1977) 1165–1198

    Google Scholar 

  9. NELSON E.: "Quantum Fluctuations" Prineton series in Physics, 1985.

    Google Scholar 

  10. NELSON E.: "What is Stochastic Mechanics", Actes des journées S.M.F. Mathématiques finitaires et Analyse Non Standard-CIRM-Mai 1985. Publications Université de Paris 7.

    Google Scholar 

  11. NELSON E.: "Radically Elementary Probability Theory" Annals of Mathematics Studies 117 Princeton Univrtsity Press 1987

    Google Scholar 

  12. NELSON: "Mathematical theories of Brownian motions" Mathematical Notes, Princeton University Press 1966.

    Google Scholar 

  13. REEB G.: "Séance débat sur l'Analyse Non Standard" La Gazette des Mathématiciens no 3 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Mathématiques appliquées, Ecole des Mines de Paris, Sophia Antipolis, 06565, VALBONNE Cedex, France

    E. Benoit, B. Candelpergher & C. Lobry

  2. G. R. Automatique - E.N.S.I.E.G., B.P. 46, 38402, Saint Martin d'Hères, France

    E. Benoit

  3. Laboratoire de Mathématiques, U.A. 168, parc Valrose, 06000, NICE, France

    B. Candelpergher & C. Lobry

Authors
  1. E. Benoit
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Candelpergher
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Lobry
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Austin Blaquiére

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Benoit, E., Candelpergher, B., Lobry, C. (1989). Continuity of trajectories of random walks with infinitesimal steps. In: Blaquiére, A. (eds) Modeling and Control of Systems. Lecture Notes in Control and Information Sciences, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041215

Download citation

  • DOI: https://doi.org/10.1007/BFb0041215

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50790-1

  • Online ISBN: 978-3-540-46087-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation