Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral

P. Mathieu

Séminaire de probabilités de Strasbourg (1998)

  • Volume: 32, page 30-35

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Mathieu, P.. "Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral." Séminaire de probabilités de Strasbourg 32 (1998): 30-35. <http://eudml.org/doc/113991>.

@article{Mathieu1998,
author = {Mathieu, P.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {logarithmic Sobolev inequalities; spectral gap; Laplace-Beltrami operator},
language = {fre},
pages = {30-35},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral},
url = {http://eudml.org/doc/113991},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Mathieu, P.
TI - Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral
JO - Séminaire de probabilités de Strasbourg
PY - 1998
PB - Springer - Lecture Notes in Mathematics
VL - 32
SP - 30
EP - 35
LA - fre
KW - logarithmic Sobolev inequalities; spectral gap; Laplace-Beltrami operator
UR - http://eudml.org/doc/113991
ER -

References

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  1. Aida. S. (1997): Uniform positivity improving property, Sobolev inequality and spectral gaps. Preprint. Zbl0914.47041MR1641566
  2. Bakry. D. (1992): L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour 1992. LNM1581. Zbl0856.47026
  3. Fukushima. M. (1980): Dirichlet forms and Markov processes. (North Holland). Zbl0422.31007MR569058
  4. Mathieu. P. (1996-1): Hitting times and spectral gap inequalities. A paraître dans Ann. IHP. Zbl0894.60070MR1465797
  5. Mathieu. P. (1996-2): On the law of the hitting time of a small set by a Markov process. Preprint 
  6. Mathieu. P. (1996-3): Uniform estimates of the hitting times of big sets by a Markov process. Preprint 

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