Skip to main content
Log in

Complexity of self-similar hierarchically constrained ensembles

  • Miscellaneous
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The complexity measure of the infinite set of self-similar hierarchically constrained ensembles is determined in the framework of the generalized combinatory approach. It is shown that, as the hierarchical coupling increases, the complexity increases to a value that decreases with increasing the dispersion of this coupling and with decreasing the branching degree of the hierarchical tree.

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.

Similar content being viewed by others

References

  1. R. Rammal, G. Toulouse, and M. A. Virasoro, Rev. Mod. Phys. 58, 765 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  2. V. S. Dotsenko, Usp. Fiz. Nauk 163(6), 1 (1993) [Phys. Usp. 36, 455 (1993)].

    Article  Google Scholar 

  3. A. I. Olemskoi, in Physics Reviews, Ed. by I. M. Khalatnikov (Gordon and Breach, London, 1996), Vol. 18, Part 1.

    Google Scholar 

  4. P. Holme, M. Huss, and H. Jeong, Bioinformatics 19, 532 (2003).

    Article  Google Scholar 

  5. R. N. Mantegna and H. H. Stanley, An Introduction to Econophysics, Correlations and Complexity in Finance (Cambridge Univ. Press, Cambridge, 2000).

    Google Scholar 

  6. A. I. Olemskoĭ, Pis’ma Zh. Éksp. Teor. Fiz. 71, 412 (2000) [JETP Lett. 71, 285 (2000)].

    Google Scholar 

  7. M. Gellmann and C. Tsallis, Nonextensive Entropy: Interdisciplinary Applications (Oxford Univ. Press, Oxford, 2004).

    Google Scholar 

  8. H. Suyari, Physica A (Amsterdam) 368, 63 (2006).

    MathSciNet  ADS  Google Scholar 

  9. H. Suyari and T. Wada, cond-mat/0608007.

  10. A. I. Olemskoi and A. D. Kiselev, Phys. Lett. A 247, 221 (1998).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.I. Olemskoĭ, 2007, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 85, No. 2, pp. 137–140.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Olemskoĭ, A.I. Complexity of self-similar hierarchically constrained ensembles. Jetp Lett. 85, 127–130 (2007). https://doi.org/10.1134/S0021364007020075

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364007020075

PACS numbers

Navigation