Points multiples des trajectoires de processus Gaussiens. (French) Zbl 0472.60037
Keywords:
multiple pointsReferences:
| [1] | Borell, C., The Brunn-Minkowski inequality in Gauss space, Invent. Math., 30, 107-216 (1975) · Zbl 0292.60004 |
| [2] | Cirelson, B. S.; Ibragimov, I. A.; Sudakov, V. N., Norms of gaussian sample functions, Lect. Notes in Math.550, 20-42 (1976), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0359.60019 |
| [3] | Dvoretzky, A.; Erdös, P.; Kakutani, S., Double points of paths of Brownian motion inn-space, Acta Sci. Math. (Szeged), 12, 75-81 (1950) · Zbl 0036.09001 |
| [4] | Dvoretzky, A.; Erdös, P.; Kakutani, S., Multiple points of paths of Brownian motion in the plane, Bull. Research Council of Israel, 3, 364-371 (1954) |
| [5] | Dvoretzky, A.; Erdös, P.; Kakutani, S.; Taylor, S. J., Triple points of Brownian paths in 3 space, Proc. Cambridge Philos. Soc., 53, 856-862 (1957) · Zbl 0208.44103 |
| [6] | Dvoretzky, A.; Erdös, P.; Kakutani, S., Points of multiplicityc of plane brownian paths, Bull. Research Council of Israel, 7, 158-180 (1958) |
| [7] | Dym, H.; Mc Kean, H. P., Gaussian processes, function theory and the inverse spectral problem (1976), New York-London: Academic Press, New York-London · Zbl 0327.60029 |
| [8] | Fernique, X., Régularité des trajectoires des fonctions aléatoires gaussiennes, Lect. Notes in Math.480, 1-95 (1975), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0331.60025 |
| [9] | Hawkes, J.: Multiple points for symmetric Lévy processes. Math. Proc. Cambridge Philos. Soc. 83-90 (1978) · Zbl 0396.60067 |
| [10] | Hendricks, W. J., Multiple Points for Transient Symmetric Lévy Processes in ℝ^d, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 49, 13-21 (1979) · Zbl 0398.60042 |
| [11] | Kôno, N., Double Points of a Gaussian Sample Path., Z. Wahrscheinlichkeitstheorie verw. Gebiete, 45, 175-180 (1978) · Zbl 0387.60060 |
| [12] | Levy, P., Le mouvement brownien plan, Amer. J. Math., 62, 487-550 (1940) · JFM 66.0619.02 |
| [13] | Schoenberg, I. J., On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space, Ann. Math., 38, 787-793 (1937) · JFM 63.0363.03 |
| [14] | Slepian, D., The one-sided barrier problem for Gaussian moise, Bell system Tech. J., 41, 463-501 (1962) |
| [15] | Sudakov, V.N.: Geometric Problems in the Theory of Infinite-Dimensional Probability Distributions. Proceedings of the Steklov Institute of Mathematics, Published by A.M.S., (1979) |
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