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Asymptotical behavior of trajectories of stationary banach-valued gaussian fields

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Abstract

In the paper, the sets of limit points for trajectories of continuous stationary Gaussian random fields are investigated. Subsets of the parametric set such that they generate the full set of limit points are described. Bibliography: 4 titles.

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References

  1. X. Fernique, “Oscillations de fonctions aléatoires gaussiennes à valeurs vectorielles,”Math. Scand.,60 96–108 (1987).

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  2. X. Fernique, “Régularité des trajectoires des fonctions aléatoires gaussiennes,”Lect. Notes Math.,480, (1975).

  3. A. E. Mikhailov,Zap. Nauchn. Semin. LOMI,177, 92–97 (1989).

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  4. C. Borell,Gaussian Radon Measures on Locally Convex Spaces, Uppsala (1975).

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 110–116.

Translated by V. Sudakov.

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Mikhailov, A.E. Asymptotical behavior of trajectories of stationary banach-valued gaussian fields. J Math Sci 88, 76–80 (1998). https://doi.org/10.1007/BF02363265

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  • DOI: https://doi.org/10.1007/BF02363265

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