Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.

M. Ledoux; D. Bakry

Inventiones mathematicae (1996)

  • Volume: 123, Issue: 2, page 259-282
  • ISSN: 0020-9910; 1432-1297/e

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Ledoux, M., and Bakry, D.. "Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.." Inventiones mathematicae 123.2 (1996): 259-282. <http://eudml.org/doc/144345>.

@article{Ledoux1996,
author = {Ledoux, M., Bakry, D.},
journal = {Inventiones mathematicae},
keywords = {Lévy-Gromov isoperimetric inequality; invariant measure; infinite-dimensional diffusion generator; Gaussian measure; Gaussian isoperimetric inequality; Sobolev inequality; heat kernel measures; Wiener measure},
number = {2},
pages = {259-282},
title = {Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.},
url = {http://eudml.org/doc/144345},
volume = {123},
year = {1996},
}

TY - JOUR
AU - Ledoux, M.
AU - Bakry, D.
TI - Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.
JO - Inventiones mathematicae
PY - 1996
VL - 123
IS - 2
SP - 259
EP - 282
KW - Lévy-Gromov isoperimetric inequality; invariant measure; infinite-dimensional diffusion generator; Gaussian measure; Gaussian isoperimetric inequality; Sobolev inequality; heat kernel measures; Wiener measure
UR - http://eudml.org/doc/144345
ER -

Citations in EuDML Documents

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  1. Mireille Capitaine, Sur une inégalité de Sobolev logarithmique pour une diffusion unidimensionnelle
  2. Pierre Fougères, Hypercontractivité et isopérimétrie gaussienne. Applications aux systèmes de spins
  3. Yao-Zhong Hu, A unified approach to several inequalities for gaussian and diffusion measures
  4. A. Guionnet, B. Zegarlinski, Lectures on Logarithmic Sobolev Inequalities
  5. F. Barthe, B. Maurey, Some remarks on isoperimetry of gaussian type
  6. Michel Ledoux, Logarithmic Sobolev inequalities for unbounded spin systems revisited
  7. Franck Barthe, Levels of concentration between exponential and Gaussian
  8. César Rosales, Isoperimetric and Stable Sets for Log-Concave Perturbations of Gaussian Measures
  9. Michel Ledoux, Concentration of measure and logarithmic Sobolev inequalities
  10. Michel Ledoux, The geometry of Markov diffusion generators

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