Observing scale-invariance in non-critical dynamical systems

@article{Gros2013ObservingSI,
  title={Observing scale-invariance in non-critical dynamical systems},
  author={Claudius Gros and Dimitrije Markovi{\'c}},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2013},
  volume={1510},
  pages={44-53}
}
  • C. GrosD. Marković
  • Published 12 October 2012
  • Physics
  • arXiv: Disordered Systems and Neural Networks
Recent observation for scale invariant neural avalanches in the brain have been discussed in details in the scientific literature. We point out, that these results do not necessarily imply that the properties of the underlying neural dynamics are also scale invariant. The reason for this discrepancy lies in the fact that the sampling statistics of observations and experiments is generically biased by the size of the basins of attraction of the processes to be studied. One has hence to precisely… 

Figures and Tables from this paper

Absorbing phase transitions in a non-conserving sandpile model

  • M. GöbelC. Gros
  • Computer Science
    Journal of Physics A: Mathematical and Theoretical
  • 2020
The AAS model mimics the behavior of integrate-and-fire neurons which propagate activity independently of the input received, as long as the threshold is crossed, and has the potential to influence the width of the scaling regime, in particular in two dimensions.

Exploring Systemic Risks in Systems-of-Systems Within a Multiobjective Decision Framework

A method to mitigate systemic risks through decomposing and coordinating the interconnected subsystems of an S-o-S in a decentralized way is developed by quantifying the level of subsystem interdependency caused by shared states.

References

SHOWING 1-10 OF 16 REFERENCES

The Statistical Mechanics of Phase Transitions

Abstract This article traces the development and study of phase transitions from late last century to the present day. We begin with a brief historical sketch and a description of the statistical

Complex and Adaptive Dynamical Systems: A Primer

This primer has been developed with the aim of conveying a wide range of "commons-sense" knowledge in the field of quantitative complex system science at an introductory level, providing an entry point to this both fascinating and vitally important subject.

Probability Distributions in Complex Systems

  • D. Sornette
  • Physics
    Encyclopedia of Complexity and Systems Science
  • 2009
This essay enlarges the description of distributions by proposing that ``kings'', i.e., events even beyond the extrapolation of the power law tail, may reveal an information which is complementary and perhaps sometimes even more important than the powerlaw distribution.

International Journal of Modern Physics B c ○ World Scientific Publishing Company Comments on the Deformed WN Algebra ∗

We obtain an explicit expression for the defining relation of the deformed WN algebra, DWA(ŝlN)q,t. Using this expression we can show that, in the q → 1 limit, DWA(ŝlN)q,t with t = e 2πi N q k+N N

Vertex routing models

The number of vertices having a nonzero information centrality is found to be extensive/subextensive for models with/without a memory trace in the thermodynamic limit.

Reviews of Modern Physics

Associate DIETRICH BELITZ, University of Oregon Editors: Condensed Matter Physics (Theoretical) J. IGNACIO CIRAC, Max-Planck-Institut für Quantenoptik Quantum Information RAYMOND E. GOLDSTEIN,

American Mathematical Monthly

s for articles or notes should entice the prospective reader into exploring the subject of the paper and should make it clear to the reader why this paper is interesting and important. The abstract

Cognitive computation

  • L. Valiant
  • Psychology, Biology
    Proceedings of IEEE 36th Annual Foundations of Computer Science
  • 1995
Cognitive computation is discussed as a discipline that links together neurobiology, cognitive psychology and artificial intelligence.