@article{SPS_1977__11__196_0, author = {Weber, Michel}, title = {Classes uniformes de processus gaussiens stationnaires}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, pages = {196--256}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {11}, year = {1977}, mrnumber = {455103}, zbl = {0401.60036}, language = {fr}, url = {http://archive.numdam.org/item/SPS_1977__11__196_0/} }
TY - JOUR AU - Weber, Michel TI - Classes uniformes de processus gaussiens stationnaires JO - Séminaire de probabilités de Strasbourg PY - 1977 SP - 196 EP - 256 VL - 11 PB - Springer - Lecture Notes in Mathematics UR - http://archive.numdam.org/item/SPS_1977__11__196_0/ LA - fr ID - SPS_1977__11__196_0 ER -
Weber, Michel. Classes uniformes de processus gaussiens stationnaires. Séminaire de probabilités de Strasbourg, Tome 11 (1977), pp. 196-256. http://archive.numdam.org/item/SPS_1977__11__196_0/
[1] Continuity and Hölder conditions for sample functions of stationary Gaussian processes", Proc. 4 th. Berkeley Symp. on Math. Stat. and Prob. 2, pp. 23-33. | MR | Zbl
[1961], "[2] A law of large numbers for the maximum in a stationary Gaussian sequence", Ann. Math. Statist. 33, pp. 93.97. | MR | Zbl
[1962], "[3] Gaussian processes with stationary increments : local times and sample functions properties", Ann. Math. Statist. 41 pp. 1260-1272. | MR | Zbl
[1970], "[4] Hölder conditions for realizations of Gaussian processes", Trans. Amer. Math. Soc. 99 pp. 403-413. | MR | Zbl
[1961], "[5] The sizes of compact subsets of Hilbert space and continuity of Gaussian processes", J. Functional Analysis 1, pp. 290-330. | MR | Zbl
[1967], "[6] Continuité des processus gaussiens", C.R Acad. Scienc. Paris 258, pp. 6058-6060. | MR | Zbl
[1964], "[7] Intégrabilité des vecteurs gaussiens", C.R. Acad. Scienc. Paris 270 Sér. A pp. 1698-1699. | MR | Zbl
[1970], "[8] Régularité des trajectoires des fonctions aléatoires gaussiennes", Lectures Notes Springer. | MR | Zbl
[1975], "[9] A real variable lemma and the continuity of paths of some Gaussian processes", Indiana Univ. Math. J. 20 pp. 565-578. | MR | Zbl
, and [1970], "[10] Random Fourier transforms", Trans. Amer. Math. Soc. 71, pp. 38-69. | MR | Zbl
[1951], "[11] On the oscillation functions of Gaussian processes", Math. Scand. 22, pp. 209-223. | MR | Zbl
and [1968], "[12] Norm convergent expansions for Gaussian processes in Banach spaces", Proc. Amer. Math. Soc. 25 pp. 890-895. | MR | Zbl
and [1970], "[13] Propriétés locales des fonctions à séries de Fourier aléatoires", Studia Math. 19, pp. 1-25. | MR | Zbl
[1960], "[14] Sur un mode de croissance régulière - théorèmes fondamentaux". Bulletin de la Soc. Math. de France 61, pp. 55-62. | JFM | Numdam | Zbl
[1933], "[15] On the upper and lower class for Gaussian processes with several parameter", Nagoya Math. J. Vol. 35, pp. 109-132. | MR | Zbl
[1969], "[16] On the modulus of continuity of sample functions of Gaussian processes", J. Math. Kyoto Univ. 10, pp. 493-536. | MR | Zbl
[1970], "[17] Asymptotic Behaviour of Sample Functions of Gaussian Random Fields", (à paraître dans J. Math. Kyota Univ.). | MR | Zbl
[1975], "[18] Théorie de l'addition des variables aléatoires", (Paris, Gauthier-Villars). | JFM | Zbl
[1937], "[19] Processus stochastiques et mouvement brownien". (Paris, Gauthier-Villars). | MR | Zbl
[1965], "[20] Hölder conditions for Gaussian processes with stationary increments", Trans. Amer. Math. Soc. 134, pp. 29-52. | MR | Zbl
[1968], "[21] Hölder conditions for continuous Gaussian processes" Osuka J. Math. 7, pp. 483-494. | MR | Zbl
[1970], "[22] Gaussian lacunary series and the modulus of continuity for Gaussian processes. | MR | Zbl
[1971],[23] Continuity of Gaussian processes", Trans. Amer. Math. Soc. 151, pp. 377-392. | MR | Zbl
and [1970], "[24] Zur ersten Randwertaufgabe der Wärmeleitungleichung", Compositio Math. 1, pp. 383-419. | JFM | Numdam | Zbl
[1935], "[25] Maxima of stationary Gaussian processes", Z. Wahrscheinlichkeitsth. 7, pp. 190-223. | MR | Zbl
[1967], "[26] Continuity properties of some Gaussian processes", Amer. Math. Statist. 43 pp. 285-292. | MR | Zbl
[1972], "[27] On the continuity of Brownian motion with a multidimensional parameter", Nagoya Math. J. 16, pp. 135-136. | MR | Zbl
[1960], "[28] On the upper and lower class of stationary Gaussian processes", Trans. Amer. Math. Soc. 147, pp. 301-331. | MR | Zbl
and [1970], "[29] On the Lipschitz's condition for Brownian Motion", J. Math. Soc. Japan Vol. 11, n° 4, pp. 263-274. | MR | Zbl
, and [1959], "[30] The one-sided barrier problem for Gaussian noise", Bell. syst. tech. Jour. 41, pp. 463-501. | MR
[1962], "[31] Minorations asymptotiques des trajectoires de fonctions aléatoires gaussiennes stationnaires définies sur l'intervalle [0,1]. C.R. Acad. Scienc. Paris Sér. A., pp. 49-52. | MR | Zbl
[1975],