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A unified approach to several inequalities for gaussian and diffusion measures

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Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1729)

Abstract

This paper presents a simple unified approach to several inequalities for Gaussian and diffusion measures. They include hypercontractive inequalities, logarithmic Sobolev inequalities, FKG inequalities, and correlation inequalities.

Keywords

  • Heat Kernel
  • Sobolev Inequality
  • Isoperimetric Inequality
  • Gaussian Measure
  • Diffusion Measure

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.

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© 2000 Springer-Verlag

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Hu, Y. (2000). A unified approach to several inequalities for gaussian and diffusion measures. In: Azéma, J., Ledoux, M., Émery, M., Yor, M. (eds) Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics, vol 1729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103811

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  • DOI: https://doi.org/10.1007/BFb0103811

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67314-9

  • Online ISBN: 978-3-540-46413-6

  • eBook Packages: Springer Book Archive