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Regularite de fonctions aleatoires non Gaussiennes

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Ecole d’Eté de Probabilités de Saint-Flour XI — 1981

Part of the book series: Lecture Notes in Mathematics ((LNMECOLE,volume 976))

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References du Premier Chapitre

  1. DUDLEY R.M. Sample functions of the gaussian process, Ann. of Prob., 1, 1973, 66–103.

    Article  MathSciNet  MATH  Google Scholar 

  2. FERNIQUE X. Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes, Springer, 480, 1–91.

    Google Scholar 

  3. FERNIQUE X. Caractérisation de processus à trajectoires majorées ou continues, Lecture Notes, Springer, 649, 691–706.

    Google Scholar 

  4. HAHN M.G., KLASS M.J. Sample continuity of square-integrable processes, Ann. of Prob., 5, 1977, 361–370.

    Article  MathSciNet  MATH  Google Scholar 

  5. IBRAGIMOV I.A. Properties of sample functions for stochastic processes and embedding theorems, Theory Prob. Appl., 18, 1973, 442–453.

    Article  MATH  Google Scholar 

  6. KONO N. Sample path properties of stochastic processes, J. Math. Kyoto Univ., 20–2, 1980, 295–313.

    MathSciNet  MATH  Google Scholar 

  7. MARCUS M.B. Continuity and the central limit theorem for random trigonometrical series, Z. Wahrscheinlichkeitsth., 42, 1978, 35–56.

    Article  MATH  Google Scholar 

  8. NANOPOULOS C., NOBELIS P. Régularité et propriétés limites de fonctions aléatoires, Lecture Notes, Springer, 649, 567–690.

    Google Scholar 

  9. PISIER G. Conditions d’entropie assurant la continuité de certains processus, Séminaire Analyse fonctionnelle, 1979–1980, XIII–XIV, Ecole Polytechnique.

    Google Scholar 

  10. WEBER M. Une méthode élémentaire pour l’étude de la régularité d’une large classe de fonctions aléatoires, CR Acad. Sc. Paris, 292, I, 599–602.

    Google Scholar 

  11. A. EHRHARD et X. FERNIQUE Fonctions aléatoires stables irrégulières, C.R. Acad. Sc. Paris, 292, I, 999–1001.

    Google Scholar 

  12. A. de ACOSTA Inequalities for B — valued random vectors with applications to the strong law of large numbers.

    Google Scholar 

  13. C. BORELL The Brunn-Minkowski inequality in Gauss space, Inv. Math., 30, 1975, 207–216.

    Article  MathSciNet  MATH  Google Scholar 

  14. C. DELLACHERIE et P.A. MEYER Probabilités et Potentiel, Hermann Paris 1975, Actualités Sci. et Ind. 1372, et 1980 A.S.I 1385.

    Google Scholar 

  15. X. FERNIQUE Intégrabilité des vecteurs gaussiens, C. R. Acad. Sci., Paris, A, 270, 1970, pp. 1698–1699.

    MathSciNet  MATH  Google Scholar 

  16. X. FERNIQUE Continuité et théorème central limite pour les transformées de Fourier des mesures aléatoires du second ordre, Z.W.v.G., 42, 57–66, 1978.

    MathSciNet  MATH  Google Scholar 

  17. X. FERNIQUE Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes in Math., 480, Springer 1975.

    Google Scholar 

  18. X. FERNIQUE L’ordre de grandeur à l’infini de certaines fonctions aléatoires, Colloque International C.N.R.S., St Flour 1980, à paraître.

    Google Scholar 

  19. E. GINE et M.B. MARCUS Some results on the domain of attraction of stable measures in C(K), manuscrit, 1980.

    Google Scholar 

  20. K. ITO et M. NISIO On the oscillation of Gaussian processes, Math. Scand., 22, 1968, p. 209–223.

    Article  MathSciNet  MATH  Google Scholar 

  21. N.C. JAIN et M.B. MARCUS Integrability of infinite sums of independent vector valued random variables, Trans. Amer. Math. Soc., 212, 1975, 1–36.

    Article  MathSciNet  MATH  Google Scholar 

  22. N.C. JAIN et M.B. KALLIANPUR Norm convergent expansions for gaussian processes in Banach spaces. Proc. Amer. Math. Soc., 25, 1970, 890–895.

    MathSciNet  MATH  Google Scholar 

  23. J. KUELBS et J. ZINN Some stability results for vector valued random variables, Ann. Prob., 7, 1979, 75–84.

    Article  MathSciNet  MATH  Google Scholar 

  24. H.J. LANDAU et L.A. SHEPP On the supremum of a gaussian process, Sankhya, A, 32, 1971, 369–378.

    MathSciNet  MATH  Google Scholar 

  25. M.B. MARCUS Continuity and the central limit theorem for random trigonometric series, Z.W., 42, 1978, 35–56.

    Article  MathSciNet  MATH  Google Scholar 

  26. M.B. MARCUS et G. PISIER Necessary and sufficient conditions for the uniform convergence of random trigonometric series, Lecture Notes Series, Aarhus University, 50, 1978.

    Google Scholar 

  27. M.B. MARCUS et G. PISIER Random Fourier series with applications to harmonic Analysis, preprint.

    Google Scholar 

  28. V.V. YURINSKII Exponential bounds for large deviations, Th. Prob. Appl., 19, 1974, 154–155.

    Article  MathSciNet  Google Scholar 

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  1. X. Fernique
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© 1983 Springer-Verlag

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Fernique, X. (1983). Regularite de fonctions aleatoires non Gaussiennes. In: Ecole d’Eté de Probabilités de Saint-Flour XI — 1981. Lecture Notes in Mathematics, vol 976. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067985

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  • DOI: https://doi.org/10.1007/BFb0067985

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11987-6

  • Online ISBN: 978-3-540-39458-7

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