Skip to main content

Computer assisted proofs

  • Conference paper
  • First Online:
Computational Methods in Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 409))

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

  • Collet, P., Eckmann, J.P.: Iterated Maps on the Interval as Dynamical Systems (Birkhäuser, Boston) (1980)

    Google Scholar 

  • Eckmann, J.P., Koch, H., Wittwer, P.: (1984) A computer-assisted proof of universality for area preserving maps Memoirs AMS 47 (1984)

    Google Scholar 

  • Eckmann, J.P., Wittwer, P.: Computer Methods and Bored Summability Applied to Feigenbaum's Equation (Springer, Berlin Heidelberg) Springer Lecture Notes in Physics Vol 227 (1985)

    Google Scholar 

  • Fefferman, C., de la Llave, R.: Relativistic stability of matter I Rev. Mat. Iber. 2 (1986) 119–213

    Google Scholar 

  • Koch, H., Wittwer, P.: A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories Commun. Math. Phys. 106 (1986) pp 495–532

    Google Scholar 

  • Lanford, O.E.: A computer-assisted proof of the Feigenbaum conjectures Bull. Amer. Math. Soc., New Series 6 (1982) pp 427–434

    Google Scholar 

  • de la Llave, R.: Computer assisted proofs of stability of matter, in Mayer and Schmidt (1991) (1991) pp 116–126

    Google Scholar 

  • de la Llave, R., Rana, D.: Accurate strategies for small divisor problems Bull. Amer. Math. Soc., New Series 22 (1990) pp 85–90

    Google Scholar 

  • de la Llave, R., Rana, D.: Accurate strategies for K.A.M. bounds and their implementations, in Mayer and Schmidt (1991) (1991) pp 127–146

    Google Scholar 

  • MacKay, R.S., Percival, I.C.: Converse KAM: theory and practice Commun. Math. Phys. 98 (1985) pp 469–512

    Google Scholar 

  • Mayer, K.R., Schmidt, D.S.: (eds) Computer Aided Proofs in Analysis (Springer, New York) (1991)

    Google Scholar 

  • Mestel. B.D.: A computer assisted proof of universality for cubic critical maps of the circle with golden mean rotation number (Ph. D. Thesis, Mathematics Department, University of Warwick) (1985)

    Google Scholar 

  • Moore, R.E.: Interval Analysis (Prentice-Hall, Englewood Cliffs) (1966)

    Google Scholar 

  • Moore, R.E.: Methods and Applications of Interval Analysis (SIAM, Philadelphia) (1979)

    Google Scholar 

  • Seco, L.A.: Computer assisted lower bounds for atomic energies, in Mayer and Schmidt (1991) (1991) pp 241–251

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Gausterer C. B. Lang

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Lanford, O.E. (1992). Computer assisted proofs. In: Gausterer, H., Lang, C.B. (eds) Computational Methods in Field Theory. Lecture Notes in Physics, vol 409. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55997-3_30

Download citation

  • DOI: https://doi.org/10.1007/3-540-55997-3_30

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55997-9

  • Online ISBN: 978-3-540-47338-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics