@article{SPS_2000__34__313_0,
author = {Capitaine, Mireille},
title = {On the {Onsager-Machlup} functional for elliptic diffusion processes},
journal = {S\'eminaire de probabilit\'es},
pages = {313--328},
year = {2000},
publisher = {Springer - Lecture Notes in Mathematics},
volume = {34},
mrnumber = {1768071},
zbl = {0959.60072},
language = {en},
url = {https://www.numdam.org/item/SPS_2000__34__313_0/}
}
TY - JOUR AU - Capitaine, Mireille TI - On the Onsager-Machlup functional for elliptic diffusion processes JO - Séminaire de probabilités PY - 2000 SP - 313 EP - 328 VL - 34 PB - Springer - Lecture Notes in Mathematics UR - https://www.numdam.org/item/SPS_2000__34__313_0/ LA - en ID - SPS_2000__34__313_0 ER -
Capitaine, Mireille. On the Onsager-Machlup functional for elliptic diffusion processes. Séminaire de probabilités, Tome 34 (2000), pp. 313-328. https://www.numdam.org/item/SPS_2000__34__313_0/
[1] , , , Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194 (1971), Springer-Verlag, Berlin. | Zbl | MR
[2] , "A note on Gauss measures which agree on small balls", Annal. Inst. Henri Poincaré, Vol. XIII, n 3, 1977, 231-238. | Zbl | MR | Numdam
[3] , "Onsager-Machlup functional for some smooth norms on Wiener space" Prob. Th. Rel. Fields, Vol. 102, 1995, 189-201. | Zbl | MR
[4] , "Fonctionnelle d'Onsager-Machlup pour un processus de diffusion-Inégalités de Sobolev logarithmiques sur l'espace des chemins", Thèse de l'université Paul Sabatier (1996).
[5] and , "The Onsager-Machlup function for diffusion processes", J. Math. Kyoto Univ., 22-1 (1982), 115-130. | Zbl | MR
[6] , "Wiener functionals associated with joint distributions of exit time and position from small geodesic balls", Annals of Probability, 24 (1996), 825-837. | Zbl | MR
[7] and , "Lagrangian for pinned diffusion process", Itô's Stochastic Calculus and Probability Theory, Springer (1996), 117-128. | Zbl | MR
[8] and , Stochastic Differential Equations and Diffusion Processes, North-Holland, 1981. | Zbl | MR
[9] , Isoperimetry and Gaussian analysis, Ecole d'Eté de Probabilités de Saint-Flour 1994, Lecture Notes in Math. 1648, 165-294 (1996), Springer-Verlag. | Zbl | MR
[10] and , "Conditional exponential moments for iterated Wiener integrals, with application to Onsager-Machlup functionals", Ann. Probability, to appear. | Zbl | MR
[11] et , "The Probability of small gaussian ellipsoids and associated conditional moments", Annals of Probability, Vol. 21, n 1, (1993), 14-24. | Zbl | MR
[12] and , Continuous Martingales and Brownian Motion, Springer-Verlag. | Zbl
[13] and , "A note on conditional exponential moments and the Onsager Machlup functional", Annals of Probability, 20 (1992), 652-654. | Zbl | MR
[14] and , "Exponential estimates for convex norms and some applications", Barcelona Seminar on Stochastic Analysis, St Feliu de Guixols, 1991, Progress in Prob. vol. 32, Birkhäuser Verlag. Basel. Boston. Berlin, 1993. 203-215. | Zbl | MR
[15] and , "The probability functional (Onsager-Machlup function) of diffusion processes", Stochastic Integrals (D. Williams, Ed.), Lecture Notes in Math., 851 (1981), 433-463. Springer, Berlin-New-York. | Zbl | MR
[16] , "On the Onsager Machlup functional of diffusion processes around non C2 curves", Annals of Probability, 17 (1989), 1037-1054. | Zbl | MR





