Fernique type inequalities and moduli of continuity for l2-valued Ornstein-Uhlenbeck Processes
Annales de l'I.H.P. Probabilités et statistiques, Volume 28 (1992) no. 4, p. 479-517
@article{AIHPB_1992__28_4_479_0,
     author = {Cs\'aki, Endre and Cs\"org\"o, Mikl\'os and Shao, Qi-Man},
     title = {Fernique type inequalities and moduli of continuity for l2-valued Ornstein-Uhlenbeck Processes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     publisher = {Gauthier-Villars},
     volume = {28},
     number = {4},
     year = {1992},
     pages = {479-517},
     zbl = {0762.60028},
     mrnumber = {1193082},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1992__28_4_479_0}
}
Csáki, Endre; Csörgö, Miklós; Shao, Qi-Man. Fernique type inequalities and moduli of continuity for l2-valued Ornstein-Uhlenbeck Processes. Annales de l'I.H.P. Probabilités et statistiques, Volume 28 (1992) no. 4, pp. 479-517. http://www.numdam.org/item/AIHPB_1992__28_4_479_0/

R.J. Adler, An Introduction to Continuity, Extrema, and Related Topics for general Gaussian Processes, IMS Lecture Notes, Monograph Series, Vol. 12, 1990. | MR 1088478 | Zbl 0747.60039

E. Csáki and M. Csörgö, Femique type inequalities for not necessarily Gaussian processes, C.R. Math. Rep. Acad. Sci. Canada, Vol. 12, 1990, pp. 149-154. | MR 1077478 | Zbl 0727.60041

E. Csáki and M. Csörgö, Inequalities for increments of stochastic processes and moduli of continuity, Ann. Probab., Vol. 20, 1992, pp. 1031-1052. | MR 1159584 | Zbl 0757.60024

E. Csáki, M. Csörgö, Z.Y. Lin and P. Révész, On infinite series of independent Ornstein-Uhlenbeck processes, Stoch. Proc. Appl., Vol. 39, 1991, pp.25-44. | MR 1135082 | Zbl 0745.60036

E. Csáki, M. Csörgö and Q.M. Shao, Moduli of continuity for lp-valued Gaussian processes. In: Tech. Rep. Ser. Lab. Res. Stat. Probab., No. 160, 1991, Carleton University-University of Ottawa.

M. Csörgö and Z.Y. Lin, On moduli of continuity for Gaussian and l2-norm squared processes generated by Ornstein-Uhlenbeck processes, Can. J. Math., Vol. 42, 1990, pp. 141-158. | MR 1043516 | Zbl 0723.60038

D.A. Dawson, Stochastic evolution equation, Math. Bios., Vol. 15, 1972, pp. 287-316. | MR 321178 | Zbl 0251.60040

X. Fernique, La régularité des fonctions aléatoires d'Ornstein-Uhlenbeck à valeurs dans l2; le cas diagonal, C.R. Acad. Sci. Paris, Vol. 309, 1989, pp. 59-62. | MR 1004940 | Zbl 0674.60040

X. Fernique, Sur la régularité de certaines fonctions aléatoires d'Ornstein-Uhlenbeck, Ann. Inst. Henri Poincaré, Probabilités et Statistiques, Vol. 26, 1990, pp. 399-417. | Numdam | MR 1066085 | Zbl 0706.60041

I. Iscoe, M. Marcus, D. Mcdonald, M. Talagrand and J. Zinn, Continuity of l2-valued Ornstein-Uhlenbeck processes. Ann. Probab., Vol. 18, 1990, pp. 68-91. | MR 1043937 | Zbl 0699.60052

I. Iscoe and D. Mcdonald, Continuity of l2-valued Ornstein-Uhlenbeck processes, Tech. Rep. Ser. Lab. Res. Stat. Probab., No. 58, 1986, Carleton University-University of Ottawa, Ottawa.

I. Iscoe and D. Mcdonald, Large deviations for l2-valued Ornstein-Uhlenbeck processes, Ann. Probab., Vol. 17, 1989, pp. 58-73. | MR 972771 | Zbl 0716.60060

N.C. Jain and M.B. Marcus, Continuity of subgaussian processes, In: Probability on Banach Spaces, (ed. J. Kuelbs), Advances in Probability and Related Topics (series ed. P. Ney), Vol. 4, 1978, pp.81-196. | MR 515431

N. Kalinauskaité, Unilatéral estimate for the supremum distribution of certain process, Lithuanian Math. J., Vol. 26, 1986, pp. 315-317. | MR 882477 | Zbl 0657.60060

B. Schmuland, Dirichlet Forms and Infinite Dimensional Ornstein-Uhlenbeck Processes, Ph. D. Dissertation, Carleton University, Ottawa, 1987.

B. Schmuland, Some regularity results on infinite dimensional diffusions via Dirichlet forms, Stoch. Anal. and Appl., Vol. 6, 1988 a, pp. 327-348. | MR 949683 | Zbl 0661.60093

B. Schmuland, Regularity of l2-valued Ornstein-Uhlenbeck processes, C.R. Math. Rep. Acad. Sci. Canad., Vol. 10, 1988 b, pp. 119-124. | MR 933225 | Zbl 0645.60046

B. Schmuland, Moduli of continuity for some Hilbert space valued Ornstein-Uhlenbeck process. C.R. Math. Rep. Acad. Sci. Canad., Vol. 10, 1988 c, pp. 197-202. | MR 955099 | Zbl 0653.60034

B. Schmuland, Sample path properties of lp-valued Ornstein-Uhlenbeck processes, Canad. Math. Bull., Vol. 33, 1990, pp. 358-366. | MR 1077111 | Zbl 0678.60069

M. Talagrand, Regularity of Gaussian processes, Acta Math., Vol. 159, 1987, pp. 99-149. | MR 906527 | Zbl 0712.60044