Skip to main content
SpringerLink
Log in

Recurrence in Mean

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

In this paper, the mean values of the recurrence and N-recurrence constants are computed; in the topological case, the recurrence constant is found.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. H. Poincaré, Les méthodes nouvelles de la mécanique céleste, Gauthier-Villar, Paris, 1899.

    Google Scholar 

  2. M. D. Boshernitzan, “Quantitative recurrence results,” Invent. Math., 113 (1993), no. 3, 617.

    Google Scholar 

  3. N. G. Moshchevitin, “On a theorem of Poincaré,” Uspekhi Mat. Nauk [Russian Math. Surveys], 53 (1998), no. 1, 223-234.

    Google Scholar 

  4. J. Oxtoby, “Ergodic sets,” Bull. Amer. Math. Soc., 58 (1952), no. 2, 116-136.

    Google Scholar 

  5. F. Spitzer, Principles of Random Walk, Van Nostrand, 1964.

  6. A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Cambridge Univ. Press, Cambridge, 1995.

    Google Scholar 

  7. A. N. Kolmogorov, “On certain asymptotic characteristics of completely bounded metric spaces,” Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 108 (1956), no. 3, 385.

    Google Scholar 

  8. É. M. Galeev and V. M. Tikhomirov, A Brief Course of the Theory of Extremum Problems, Izdat. Moscov. Univ., Moscow, 1989.

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    I. D. Shkredov

Authors
  1. I. D. Shkredov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shkredov, I.D. Recurrence in Mean. Mathematical Notes 72, 576–582 (2002). https://doi.org/10.1023/A:1020548815535

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020548815535

Search

Navigation