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Hausdorff dimension of the graph of a Gaussian random field

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Abstract

We shall find the Hausdorff dimensions of the image and the graph of a Gaussian random field with isotropic increments.

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Literature cited

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Authors and Affiliations

  1. Kiev State University, USSR

    N. M. Zinchenko

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  1. N. M. Zinchenko
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Additional information

Translated from Matematicheskie Zametki, Vol. 21, No. 1, pp. 133–136, January, 1977.

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Zinchenko, N.M. Hausdorff dimension of the graph of a Gaussian random field. Mathematical Notes of the Academy of Sciences of the USSR 21, 72–74 (1977). https://doi.org/10.1007/BF02317041

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  • DOI: https://doi.org/10.1007/BF02317041

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