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On extremal behavior of Gaussian chaos

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References

  1. M. Arcones and E. Giné, J. Theor. Probab. 6, 101–122 (1993).

    Article  MATH  Google Scholar 

  2. D. B. H. Cline and G. Samorodnitsky, Stoch. Process. Appl. 49, 75–98 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  3. M. V. Fedoryuk, Asymptotics: Integrals and Series (Nauka, Moscow, 1987) [in Russian].

    MATH  Google Scholar 

  4. S. Foss, D. Korshunov, and S. Zachary, An Introduction to Heavy-Tailed and Subexponential Distributions (Springer, New York, 2011).

    Book  MATH  Google Scholar 

  5. D. L. Hanson and F. T. Wright, Ann. Math. Stat. 42, 1079–1083 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  6. W. Hoeffding, Theory Probab. Appl. 9(1), 89–91 (1964).

    Article  MathSciNet  Google Scholar 

  7. J. Hüsler, R. Liu, and K. Singh, J. Multiv. Anal. 82, 422–430 (2002).

    Article  MATH  Google Scholar 

  8. B. G. Ivanoff and N. C. Weber, Bull. Austral. Math. Soc. 58, 239–244 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Latała, Stud. Math. 135, 39–53 (1999).

    MATH  Google Scholar 

  10. R. Latała, Ann. Probab. 34, 2315–2331 (2006).

    Article  MathSciNet  MATH  Google Scholar 

  11. M. A. Lifshits, Lectures on Gaussian Processes (Springer, Heidelberg, 2012).

    Book  MATH  Google Scholar 

  12. V. I. Piterbarg, Stoch. Process. Appl. 53, 307–337 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  13. D. Sornette, Phys. Rev. E 57, 4811–4813 (1998).

    Article  Google Scholar 

  14. N. Wiener, Am. J. Math. 60, 897–936 (1938).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

    D. A. Korshunov

  2. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia

    V. I. Piterbarg

  3. UNIL-Dorigny, 1015, Lausanne, Switzerland

    E. Hashorva

Authors
  1. D. A. Korshunov
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  2. V. I. Piterbarg
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  3. E. Hashorva
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Corresponding author

Correspondence to D. A. Korshunov.

Additional information

Original Russian Text © D.A. Korshunov, V.I. Piterbarg, E. Hashorva, 2013, published in Doklady Akademii Nauk, 2013, Vol. 452, No. 5, pp. 483–485.

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Korshunov, D.A., Piterbarg, V.I. & Hashorva, E. On extremal behavior of Gaussian chaos. Dokl. Math. 88, 566–568 (2013). https://doi.org/10.1134/S1064562413050220

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  • DOI: https://doi.org/10.1134/S1064562413050220

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