Skip to main content

A simple proof of the logarithmic sobolev inequality on the circle

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1247)

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   59.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

References

  1. Bakry, D. and M. Emery (1985) Diffusions hypercontractives, Lecture Notes in Mathematics, no. 1123, pp. 177–206.

    Google Scholar 

  2. Gross, L. (1975) Logarithmic Sobolev inequalities, Amer. J. Math., 97, pp. 1061–1083.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Rothaus, O. S. (1980) Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators, J. Functional Analysis, 39, pp. 42–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Rothaus, O. S. (1981) Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities, J. Functional Analysis, 42, pp. 102–109.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Weissler, F. B. (1980) Logarithmic Sobolev inequalities and hypercontractive estimates on the circle, J. Functional Analysis, 37, pp. 218–234.

    CrossRef  MathSciNet  MATH  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

Emery, M., Yukich, J.E. (1987). A simple proof of the logarithmic sobolev inequality on the circle. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXI. Lecture Notes in Mathematics, vol 1247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077632

Download citation

  • DOI: https://doi.org/10.1007/BFb0077632

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17768-5

  • Online ISBN: 978-3-540-47814-0

  • eBook Packages: Springer Book Archive