Skip to main content
Log in

A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. M. Vershik, Funct. Anal. Appl. 28, 13–20 (1994) [Funkts. Anal. Prilozh. 28(1), 17–25 (1994)].

    Article  MATH  MathSciNet  Google Scholar 

  2. Ya. G. Sinai, Funct. Anal. Appl. 28, 108–113 (1994) [Funkts. Anal. Prilozh. 28(2), 41–48 (1994)].

    Article  MathSciNet  Google Scholar 

  3. I. Bárány, Discrete Comput. Geom. 13, 279–295 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  4. L. V. Bogachev and S. M. Zarbaliev, Russian Math. Surveys 54, 830–832 (1999) [Uspekhi Matem. Nauk 54(4), 155–156 (1999)].

    Article  MATH  MathSciNet  Google Scholar 

  5. S. M. Zarbaliev, Limit Theorems for Random Convex Polygons PhD Thesis (Moscow State University, Moscow, 2004) [in Russian].

    Google Scholar 

  6. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1968), Vol. I.

    MATH  Google Scholar 

  7. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers (Oxford Univ. Press, Oxford, 1960).

    MATH  Google Scholar 

  8. A. A. Karatsuba, Basic Analytic Number Theory (Nauka, Moscow, 1983; Springer, Berlin, 1993).

    Google Scholar 

  9. J. Yeh, Martingales and Stochastic Analysis (World Scientific, Singapore, 1995).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. V. Bogachev.

Additional information

Published in Russian in Doklady Akademii Nauk, 2009, Vol. 425, No. 3, pp. 299–304.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bogachev, L.V., Zarbaliev, S.M. A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines. Dokl. Math. 79, 197–202 (2009). https://doi.org/10.1134/S1064562409020148

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562409020148

Keywords

Navigation