Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure

@article{PuertasCenteno2018DifferentialescortTA,
  title={Differential-escort transformations and the monotonicity of the LMC-R{\'e}nyi complexity measure},
  author={David Puertas-Centeno},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2018}
}
  • D. Puertas-Centeno
  • Published 5 December 2018
  • Computer Science
  • Physica A: Statistical Mechanics and its Applications
1 Citations

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References

SHOWING 1-10 OF 30 REFERENCES

Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: a basis for q-exponential distributions.

  • S. Abe
  • Computer Science, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
It is shown that, among the three, the Tsallis entropy is stable and can provide an entropic basis for the q-exponential distributions, whereas the others are unstable and cannot represent any experimentally observable quantities.

On escort distributions, q-gaussians and Fisher information

Escort distributions are a simple one parameter deformation of an original distribution p. In Tsallis extended thermostatistics, the escort‐averages, defined with respect to an escort distribution,

Source coding with escort distributions and Renyi entropy bounds

On Generalized Stam Inequalities and Fisher-Rényi Complexity Measures

This paper introduces a three-parametric Fisher–Renyi complexity, named (p, β, λ)-Fisher–Ren Yi complexity, based on both a two-parametic extension of the Fisher information and the Renyi entropies of a probability density function ρ characteristic of the system, and determines the distribution that saturates the inequality.

A generalized complexity measure based on Rényi entropy

A generalized LMC-Rényi complexity is proposed which overcomes the problem of physical aspects of the internal disorder in atomic and molecular systems which are not grasped by their mother LMC quantity.

Escort mean values and the characterization of power-law-decaying probability densities

Escort mean values (or q-moments) constitute useful theoretical tools for describing basic features of some probability densities such as those which asymptotically decay like power laws. They

Geometry of escort distributions.

  • S. Abe
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
It is shown quantitatively that it is inappropriate to use the original distribution instead of the escort distribution for calculating the expectation values of physical quantities in nonextensive statistical mechanics.

A Generalized Statistical Complexity Measure: Applications to Quantum Systems

A two-parameter family of complexity measures C(α,β) based on the Renyi entropies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization