Skip to main content

Percolation of the two-dimensional ising model

Part of the Lecture Notes in Mathematics book series (LNM,volume 1250)

Keywords

  • Ising Model
  • Percolation Theory
  • Model Percolation
  • Dual Graph
  • Gibbs State

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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.

References

  1. Coniglio, A., Nappi, C.R., Peruggi, F., Russo, L.: Comm.Math.Phys. 51, 315–323 (1976).

    CrossRef  MathSciNet  Google Scholar 

  2. Harris, T.E.: Proc.Cambridge Philos.Soc. 56, 13–20 (1960).

    CrossRef  MathSciNet  Google Scholar 

  3. Higuchi, Y.: Z.Wahrscheinlichkeitstheorie verw. Gebiete 61, 75–81 (1982).

    CrossRef  MathSciNet  Google Scholar 

  4. Higuchi, Y.: In Probability Theory and Mathematical Statistics. Proceedings of 4th USSR-Japan Symposium, 1982. Lecture Notes in Math. 1021, 230–237 (1983).

    Google Scholar 

  5. Higuchi, Y.: A weak version of RSW theorem for the two-dimensional Ising model. Preprint.

    Google Scholar 

  6. Kunz, H,. Souillard, B.: J.Stat.Phys. 19, 77–106 (1978).

    CrossRef  MathSciNet  Google Scholar 

  7. Russo, L.: Z.Wahrscheinlichkeitstheorie verw. Gebiete 56, 229–237 (1981).

    CrossRef  Google Scholar 

  8. Russo, L.: i.b.i.d. 61, 129–139 (1982).

    CrossRef  Google Scholar 

  9. Tóth, B.: A lower bound for the critical probability of the square lattice site percolation. Preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Higuchi, Y. (1987). Percolation of the two-dimensional ising model. In: Albeverio, S., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics II. Lecture Notes in Mathematics, vol 1250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077352

Download citation

  • DOI: https://doi.org/10.1007/BFb0077352

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17797-5

  • Online ISBN: 978-3-540-47835-5

  • eBook Packages: Springer Book Archive