Skip to main content
SpringerLink
Log in

On the Completely Indecomposable Nonnegative Matrices and A. N. Kolmogorov’s Condition

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The paper concerns properties of fully indecomposable doubly stochastic matrices.

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. Yu. A. Bakhturin, Basic Structures of Modern Algebra, Springer, Berlin (1993).

    Book  MATH  Google Scholar 

  2. A. N. Kolmogorov, “Local limit theorem for classical Markov chains,” in: Selected Works of A. N. Kolmogorov, Springer, Berlin (1992), pp. 338–363.

  3. I. A. Kruglov, “A connection between Markov chains on finite simple semigroups and fundamental groups,” Discrete Math. Appl., 16, No. 3, 221–227 (2006).

    Article  MathSciNet  MATH  Google Scholar 

  4. I. A. Kruglov, “The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chain,” Discrete Math. Appl., 18, No. 1, 41–55 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  5. I. A. Kruglov, “Conditions of limit uniformity of shift register state distribution,” Mat. Vopr. Kriptogr., 1, No. 2, 19–29 (2010).

    MathSciNet  Google Scholar 

  6. A. A. Nechaev, Master’s thesis (under the scientific guidance of M. M. Glukhov) [in Russian], Higher School of the KGB of the USSR CM named by F. E. Dzerzhinsky, Moscow (1966).

  7. I. Z. Rozenknop, “On some properties of collections of closed paths in a system with n states and given transitions between them,” Izv. Akad. Nauk SSSR, Ser. Mat., 14, No. 1, 95–100 (1950).

  8. V. N. Sachkov, A Course of Combinatorial Analysis [in Russian], SRC “Regular and Chaotic Dynamics,” Izhevsk (2013).

Download references

Author information

Authors and Affiliations

  1. Academy of Cryptography of Russia, Moscow, Russia

    I. A. Kruglov

Authors
  1. I. A. Kruglov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. A. Kruglov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 1, pp. 167–172, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kruglov, I.A. On the Completely Indecomposable Nonnegative Matrices and A. N. Kolmogorov’s Condition. J Math Sci 223, 602–605 (2017). https://doi.org/10.1007/s10958-017-3369-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-017-3369-5

Search

Navigation