@article{SPS_1978__12__567_0, author = {Nanopoulos, Constantin and Nobelis, Photis}, title = {R\'egularit\'e et propri\'et\'es limites des fonctions al\'eatoires}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {12}, year = {1978}, pages = {567-690}, mrnumber = {520031}, zbl = {0376.60041}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_1978__12__567_0} }
Nanopoulos, Constantin; Nobelis, Photis. Régularité et propriétés limites des fonctions aléatoires. Séminaire de probabilités de Strasbourg, Tome 12 (1978) pp. 567-690. http://gdmltest.u-ga.fr/item/SPS_1978__12__567_0/
[1] Quelques propriétés des trajectoires des fonctions aléatoires stables sur Rk. Ann. Inst. H. Poincaré Sec. B,6,2, (1970) pp. 131-151. | Numdam | MR 266291 | Zbl 0196.18601
[2] Convergence of probability measures. Wiley (1968). | MR 233396 | Zbl 0172.21201
[3] Fonctions de Young et fonctions aléatoires à trajectoires continues. C.R. Acad. Sci. Paris, Sér. A, 278 (1974), pp. 447-450. | MR 346887 | Zbl 0296.60023
[4] The sizes of compact subsets of Hilbert space and continuity of gaussian processes. J. Functional Anal., 1,3, (1967), pp. 290-330. | MR 220340 | Zbl 0188.20502
[5] Sample functions of the gaussian process. Ann. of Probability, 1, (1973), pp. 66-103. | MR 346884 | Zbl 0261.60033
[6] Metric entropy and the central limit theorem in C(S) . Ann. Inst. Fourier, 24, 2, (1974), pp. 48-60. | Numdam | MR 415727 | Zbl 0275.60033
[7] The central limit theorem and the ∈-entropie. Lect. Notes Math., 89, (1969), pp. 224-231. | MR 279872 | Zbl 0196.21101
et[8] Continuité des processus gaussiens. C.R. Acad. Sci. Paris, Sér. A-B, 258, (1964), pp. 6058-6060. | MR 164365 | Zbl 0129.30101
[9] Intégrabilité des vecteurs gaussiens. C.R. Acad. Sci. Paris, Sér. A, 270, (1970), pp. 1698-1699. | MR 266263 | Zbl 0206.19002
[10] Régularité de Processus gaussiens. Invent. Math., 12, (1971), pp. 303-320. | MR 286166 | Zbl 0217.21104
[11] Régularité des trajectoires des fonctions aléatoires gaussiennes. Ecole d'Eté de Probabilité de St Flour (1974). Lect. Notes Math., 480, (1975), pp. 1-96. | MR 413238 | Zbl 0331.60025
[12] Evaluation de processus gaussiens composés. Lect. Notes Math., 526, (1976), pp. 67-83. | MR 443054 | Zbl 0383.60037
[13] Monotonicity of certain functionals under rearrangement. Ann. Inst. Fourier, 24, 2, (1974), pp. 67-117. | Numdam | MR 414802 | Zbl 0274.26006
et[14] A real variable lemma and the continuity of paths of gaussian processes. Indiana Univ. Math. J, 20, (1971), pp. 565-578. | MR 267632 | Zbl 0252.60020
, et[15] On the central limit theorem for sample continuous processes. Ann. of Probability, 2, (1974), pp. 629-641. | MR 877596 | Zbl 0288.60017
[16] Conditions for sample-continuity and central limit theorem. (1976) à paraître dans Ann. of Probability. | MR 440679 | Zbl 0388.60043
[17] Méthode des mesures majorantes et le théorème central limite dans C(S) . (1976) à paraître dans Z. Wahrscheinlichkeitstheorie Verw. Gebiete. | MR 440667 | Zbl 0336.60021
[18] The strong law of large numbers and the central limit theorem in Banach spaces. Ann. of Probability, 4, (1976), pp. 587-599. | MR 423451 | Zbl 0368.60022
et[19] Sufficient conditions for the continuity of stationary gaussian processes and applications to random series. Ann. Inst. Fourier, 24, 2, (1974), pp. 117-141. | Numdam | MR 413239 | Zbl 0283.60041
et[20] Central limit theorem for C(S)-valued random variables. J. of Functional Anal., 19, (1975), pp. 216-231. | MR 385994 | Zbl 0305.60004
et[21] Convex fonctions and Orlicz spaces. Dehli Publ. Hindustan Corp. (1962).
et[22] Probability theory. Van Nostrand, 3ème ed., (1963). | MR 203748 | Zbl 0108.14202
[23] Martingales à temps discret. Dunod (1972). | MR 402914
[24] Banach spaces arising from some integral inequalities. Indiana Univ. Math. J., 20, (1971), pp. 997-1015. | MR 282209 | Zbl 0228.46024
[25] Continuity properties of some gaussian processes. Ann. Math. Stat., 43, (1972), pp. 285-292. | MR 307316 | Zbl 0268.60044
[26] A note on the central limit theorem. (1976) à paraître. | MR 443026