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Stationary Symmetric α-Stable Discrete Parameter Random Fields

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  • Parthanil Roy

    (Cornell University)

  • Gennady Samorodnitsky

    (Cornell University)

Abstract

We establish a connection between the structure of a stationary symmetric α-stable random field (0

Suggested Citation

  • Parthanil Roy & Gennady Samorodnitsky, 2008. "Stationary Symmetric α-Stable Discrete Parameter Random Fields," Journal of Theoretical Probability, Springer, vol. 21(1), pages 212-233, March.
    • Handle: RePEc:spr:jotpro:v:21:y:2008:i:1:d:10.1007_s10959-007-0107-9
    DOI: 10.1007/s10959-007-0107-9
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    References listed on IDEAS

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    1. Hardin, Clyde D., 1982. "On the spectral representation of symmetric stable processes," Journal of Multivariate Analysis, Elsevier, vol. 12(3), pages 385-401, September.
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    Cited by:

    1. Parthanil Roy, 2017. "Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: A survey," Indian Journal of Pure and Applied Mathematics, Springer, vol. 48(4), pages 513-540, December.
    2. Arijit Chakrabarty & Parthanil Roy, 2013. "Group-Theoretic Dimension of Stationary Symmetric α-Stable Random Fields," Journal of Theoretical Probability, Springer, vol. 26(1), pages 240-258, March.

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    Keywords

    60G60; 37A40;

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