@article{AFST_2000_6_9_3_509_0, author = {Nicolas Privault}, title = {On logarithmic {Sobolev} inequalities for normal martingales}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {509--518}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 9}, number = {3}, year = {2000}, zbl = {1013.60032}, mrnumber = {1842030}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2000_6_9_3_509_0/} }
TY - JOUR AU - Nicolas Privault TI - On logarithmic Sobolev inequalities for normal martingales JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2000 SP - 509 EP - 518 VL - 9 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2000_6_9_3_509_0/ LA - en ID - AFST_2000_6_9_3_509_0 ER -
%0 Journal Article %A Nicolas Privault %T On logarithmic Sobolev inequalities for normal martingales %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2000 %P 509-518 %V 9 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2000_6_9_3_509_0/ %G en %F AFST_2000_6_9_3_509_0
Nicolas Privault. On logarithmic Sobolev inequalities for normal martingales. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 9 (2000) no. 3, pp. 509-518. https://afst.centre-mersenne.org/item/AFST_2000_6_9_3_509_0/
[1] Grandes déviations et inégalités fonctionnelles pour des processus de Markov à temps continu sur un graphe. Thèse, Université Paul Sabatier - Toulouse III, 2000.
). -[2] On logarithmic Sobolev inequalities for continuous time random walks on graphs. Probab. Theory Related Fields, 116(4):573-602, 2000. | MR | Zbl
) and ). -[3] On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. J. Funct. Anal., 156(2):347-365, 1998. | MR | Zbl
) and ). -[4] Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Electron. Comm. Probab., 2:71-81 (electronic), 1997. | MR | Zbl
), ) and ). -[5] Probabilités et Potentiel, volume 5. Hermann, 1992. | MR
), ) and ). -[6] On the Azéma martingales. In Séminaire de Probabilités XXIII, volume 1372 of Lecture Notes in Mathematics, pages 66-87. Springer Verlag, 1990. | Numdam | MR | Zbl
). -[7] Logarithmic Sobolev inequalities. Amer. J. Math., 97(4):1061-1083, 1975. | MR | Zbl
). -[8] Concentration of measure and logarithmic Sobolev inequalities. In Séminaire de Probabilités XXXIII, volume 1709 of Lecture Notes in Math., pages 120-216. Springer, 1999. | Numdam | MR | Zbl
). -[9] Anticipating integrals for a class of martingales. Bernoulli, 4:81-114, 1998. | MR | Zbl
), ) and ). -[10] Quantum Probability for Probabilists, volume 1538 of Lecture Notes in Mathematics. Springer-Verlag, 1993. | MR | Zbl
). -[11] Independence of a class of multiple stochastic integrals. In Seminar on Stochastic Analysis, Random Fields and Applications (Ascona, 1996), pages 249-259. Birkhäuser, Basel, 1999. | MR | Zbl
). -[12] Chaotic Kabanov formula for the Azéma martingales. Bernoulli, 6(4):633-651, 2000. | MR | Zbl
), ) and ). -[13] L1 and modified logarithmic Sobolev inequalities and deviation inequalities for Poisson point processes. Preprint, 1998. | MR
). -[14] A new modified logarithmic Sobolev inequality for Poisson point processes and several applications. Probab. Theory Relat. Fields, to appear, 2000. | MR | Zbl
). -[15] Some Aspects of Brownian Motion (Part II). Birkäuser, 1992. | MR | Zbl
). -