Skip to main content

Nonstandard energy forms and diffusions on manifolds and fractals

  • Lectures, Seminars, Short Communications
  • Conference paper
  • First Online:
Stochastic Processes in Classical and Quantum Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 262))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Albeverio, J.E. Fenstad, R. Høegh-Krohn, T. Lindstrøm: Nonstandard methods in stochastic analysis and mathematical physics, Academic Press, to appear.

    Google Scholar 

  2. S. Albeverio, R. Høegh-Krohn, L. Streit: Energy forms, Hamiltonians, and distorted Brownian paths, J. Math. Phys. 18 (1977), 907–917.

    Google Scholar 

  3. S. Albeverio, R. Høegh-Krohn, L. Streit: Regularization of Hamiltonians and processes, J. Math. Phys. 21 (1980), 1636–1642.

    Google Scholar 

  4. M. Davis: Applied nonstandard analysis, Wiley, 1977.

    Google Scholar 

  5. M. Fukushima: Dirichlet forms and Markov processes, North-Holland, 1980.

    Google Scholar 

  6. M. Fukushima: Energy forms and diffusion processes, in L. Streit (ed): Mathematics + Physics, Lectures on recent results, World Scientific Publishing Co, 1985, 65–98.

    Google Scholar 

  7. A. Hurd, P. Loeb: An introduction to nonstandard real analysis, Academic Press, 1985.

    Google Scholar 

  8. T. Lindstrøm: Nonstandard analysis and perturbations of the Laplacian along Brownian paths, to appear in Proceedings of the first BiBoS-symposium, Springer.

    Google Scholar 

  9. K. Stroyan, J.M. Bayod: Foundations of infinitesimal stochastic analysis, North-Holland, to appear.

    Google Scholar 

  10. K. Stroyan, W.A.J. Luxemburg: Introduction to the theory of infinitesimals, Academic Press, 1976.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

S. Albeverio G. Casati D. Merlini

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Lindstrøm, T. (1986). Nonstandard energy forms and diffusions on manifolds and fractals. In: Albeverio, S., Casati, G., Merlini, D. (eds) Stochastic Processes in Classical and Quantum Systems. Lecture Notes in Physics, vol 262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171665_79

Download citation

  • DOI: https://doi.org/10.1007/3540171665_79

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17166-9

  • Online ISBN: 978-3-540-47222-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics