@article{AIHPB_2001__37_1_101_0, author = {An\'e, C\'ecile}, title = {Clark-Ocone formulas and {Poincar\'e} inequalities on the discrete cube}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {101--137}, publisher = {Elsevier}, volume = {37}, number = {1}, year = {2001}, zbl = {0978.60084}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2001__37_1_101_0/} }
TY - JOUR AU - Ané, Cécile TI - Clark-Ocone formulas and Poincaré inequalities on the discrete cube JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2001 SP - 101 EP - 137 VL - 37 IS - 1 PB - Elsevier UR - http://archive.numdam.org/item/AIHPB_2001__37_1_101_0/ LA - en ID - AIHPB_2001__37_1_101_0 ER -
Ané, Cécile. Clark-Ocone formulas and Poincaré inequalities on the discrete cube. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 1, pp. 101-137. http://archive.numdam.org/item/AIHPB_2001__37_1_101_0/
1 On logarithmic sobolev inequalities for continuous time random walks on graphs, Probab. Theor. Relat. Fields Vol. 116 (4) (2000) 573-602. | MR | Zbl
, ,2 Malliavin Calculus for Processes with Jumps, Gordon and Breach, New York, 1987. | MR | Zbl
, , ,3 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces, Electron. Comm. Probab. Vol. 2 (1997) 71-81. | MR | Zbl
, , ,4 Differential calculus and integration by parts on Poisson space, in: Stochastics, Algebra and Analysis in Classical and Quantum Dynamics (Marseille, 1988), Kluwer, Dordrecht, 1990, pp. 63-73. | MR | Zbl
, ,5 Probabilités et potentiel, Hermann, Paris, 1980, Chapitres V à VIII. Théorie des martingales. [Martingale theory]. | MR
, ,6 Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds, Comm. Math. Phys. Vol. 189 (1) (1997) 9-16. | MR | Zbl
,7 Limit Theorems for Stochastic Processes, Springer-Verlag, Berlin, 1987. | MR | Zbl
, ,8 Anticipative calculus for the Poisson process based on the Fock space, in: In Séminaire de Probabilités, XXIV, 1988/89, Springer, Berlin, 1990, pp. 154-165. | Numdam | MR | Zbl
, ,9 Formules de dualité sur l'espace de Poisson, Ann. Inst. H. Poincaré Probab. Statist. Vol. 32 (4) (1996) 509-548. | Numdam | MR | Zbl
,10 Chaotic and variational calculus in discrete and continuous time for the Poisson process, Stochastics Stochastics Rep. Vol. 51 (1-2) (1994) 83-109. | MR | Zbl
,11 Wu L., A new modified logarithmic Sobolev inequality for Poisson point processes and several applications, Probab. Theor. Relat. Fields (2000) to appear. | MR | Zbl