An application of the Bakry-Émery criterion to infinite dimensional diffusions

Eric A. Carlen; Daniel W. Stroock

Séminaire de probabilités de Strasbourg (1986)

  • Volume: 20, page 341-348

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Carlen, Eric A., and Stroock, Daniel W.. "An application of the Bakry-Émery criterion to infinite dimensional diffusions." Séminaire de probabilités de Strasbourg 20 (1986): 341-348. <http://eudml.org/doc/113553>.

@article{Carlen1986,
author = {Carlen, Eric A., Stroock, Daniel W.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {logarithmic Sobolev inequality; hypercontractivity of a diffusion semigroup; Ricci curvature; Gibbs states; Markovian infinite particle systems},
language = {eng},
pages = {341-348},
publisher = {Springer - Lecture Notes in Mathematics},
title = {An application of the Bakry-Émery criterion to infinite dimensional diffusions},
url = {http://eudml.org/doc/113553},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Carlen, Eric A.
AU - Stroock, Daniel W.
TI - An application of the Bakry-Émery criterion to infinite dimensional diffusions
JO - Séminaire de probabilités de Strasbourg
PY - 1986
PB - Springer - Lecture Notes in Mathematics
VL - 20
SP - 341
EP - 348
LA - eng
KW - logarithmic Sobolev inequality; hypercontractivity of a diffusion semigroup; Ricci curvature; Gibbs states; Markovian infinite particle systems
UR - http://eudml.org/doc/113553
ER -

References

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  1. [1] Bakry, D. and Emery, M., "Hypercontractivite de semi-groupes de diffusion", C.R. Acad. Sc.Paris, t. 299, Serie I no.15 (1984). Zbl0563.60068MR772092
  2. [2] Holley, R. and Stroock, D., "L2 theory for the stochastic Ising model", Z. Wahr.35, pp. 87-101 (1976). Zbl0332.60073MR410985
  3. [3] Holley, R. and Stroock, D., "Diffusions on an infinite dimensional Torus", J. Fnal. Anal., vol. 42 no.1, pp. 29-63 (1981). Zbl0501.58039MR620579
  4. [4] Holley, R. and Stroock, D., "Logarithmic Sobolev inequalities and stochastic Ising models", to appear in the issue of J. Statistical Physics dedicated to the memory of M. Kac. Zbl0682.60109MR893137
  5. [5] Rothaus, O., "Logarithmic Sobolev inequalities and the spectrum of Schroedinger operators", J. Fnal. Anal., vol. 42 no.1, pp. 110-120 (1981). Zbl0471.58025MR620582

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