Topologies métrisables rendant continues les trajectoires d'un processus
Séminaire de probabilités de Strasbourg, Tome 16 (1982), pp. 544-569. 
@article{SPS_1982__16__544_0,
     author = {Chevet, Simone},
     title = {Topologies m\'etrisables rendant continues les trajectoires d'un processus},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {544--569},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {16},
     year = {1982},
     mrnumber = {658714},
     zbl = {0486.60036},
     language = {fr},
     url = {http://www.numdam.org/item/SPS_1982__16__544_0/}
}
TY  - JOUR
AU  - Chevet, Simone
TI  - Topologies métrisables rendant continues les trajectoires d'un processus
JO  - Séminaire de probabilités de Strasbourg
PY  - 1982
SP  - 544
EP  - 569
VL  - 16
PB  - Springer - Lecture Notes in Mathematics
UR  - http://www.numdam.org/item/SPS_1982__16__544_0/
LA  - fr
ID  - SPS_1982__16__544_0
ER  - 
%0 Journal Article
%A Chevet, Simone
%T Topologies métrisables rendant continues les trajectoires d'un processus
%J Séminaire de probabilités de Strasbourg
%D 1982
%P 544-569
%V 16
%I Springer - Lecture Notes in Mathematics
%U http://www.numdam.org/item/SPS_1982__16__544_0/
%G fr
%F SPS_1982__16__544_0
Chevet, Simone. Topologies métrisables rendant continues les trajectoires d'un processus. Séminaire de probabilités de Strasbourg, Tome 16 (1982), pp. 544-569. http://www.numdam.org/item/SPS_1982__16__544_0/

[1] X. Fernique, Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes in Math. 480, (1975), 1-91. | MR | Zbl

[2] X. Fernique, Régularité de fonctions aléatoires non gaussiennes, Ecole d'Eté de Saint-Flour 1981, (à paraître). | Zbl

[3] K. Ito, Canonical measurable random functions, Proc. Internat. Conf. on Functional Analysis and Related topics, (Tokyo, 1969), 369-377. | MR | Zbl

[4] K. Ito et M. Nisio, On the oscillation of Gaussian processes, Math. Scand. 22, (1968), 209-223. | MR | Zbl

[5] V.A. Rohlin, On the fundamental ideas of measure theory, Translations Amer. Math. Soc. série 1, vol. 10 (Functional Analysis and Measure Theory), (1962), 1-54.

[6] H. Sato et Y. Okazaki, Separabilities of a Gaussian Radon measure, Ann. Inst. H. Poincaré A 11, (1975), 287-298. | Numdam | MR | Zbl

[7] H. Sato, Souslin support and Fourier expansions of a Gaussian Radon measure, Lecture Notes in Math. 860, (1980), 299-313. | MR | Zbl

[8] M. Talagrand, La τ-régularité des mesures gaussiennes, Z. Wahrs. verw. Geb. 57, (1981), 213-221. | MR | Zbl

[9] B.S. Tsirelson, Some properties of Lacunary series and Gaussian measures that are connected with uniform versions of the Egorov and Lusin properties, Theory Prob. and Appl. 20, (1975), 652-655. | Zbl

[10] B.S. Tsirelson, Natural modification of random processes and its application to random functional series and to Gaussian measures, Zap. Nauchn. Sem. Leningrad Otdel Mat. Inst. Steklov (LOMI) 55, (1975), 35-63 (en Russe). | Zbl

[11] B.S. Tsirelson, Complement to a paper on natural modifications, Zap. Nauchn. Sem. Leningrad LOMI 72, (1976), 201-211 (en Russe).

[12] N.C. Jain et G. Kallianpur, Oscillation function of a multiparameter Gaussian process, Nagoya Math. J. 47, (1972), 15-28. | MR | Zbl

[13] Yu.K. Belyaev, Local properties of the sample functions of stationary Gaussian processes, Theory Prob. and Appl. 5, (1960), 117-120. | MR | Zbl

[14] Yu.K. Belyaev, Continuity and Hölder's conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Symposium, vol. 2, (1961), 23-33. | MR | Zbl

[15] J. Hoffmann-Jorgensen, Integrability of semi-norms, the 0-1 law and the affine kernel for product measures, Studia Math. 61, (1977), 137-159. | MR | Zbl

[16] R.M. Dudley, The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Funct. Anal. 1, (1967), 290-330. | MR | Zbl

[17] A. Prekopa, On stochastic set functions, Acta Math. Acad. Scient. Hung.7, (1956) 215-262 et 8, (1957), 337-400. | MR | Zbl

[18] C. Borell, Gaussian Radon measures on locally convex spaces, Math. Scand. 38, (1976), 265-284. | MR | Zbl