Measuring information growth in fractal phase space

@article{Wang2004MeasuringIG,
  title={Measuring information growth in fractal phase space},
  author={Q. A. Wang and Alain Le M{\'e}haut{\'e}},
  journal={Chaos Solitons \& Fractals},
  year={2004},
  volume={21},
  pages={893-897}
}

Figures from this paper

Maximum Entropy Change and Least Action Principle for Nonequilibrium Systems

A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are

Composition of Fractals and Multifractals

This work is an analytical and numerical study of the composition of several fractals into one and of the relation between the composite dimension and the dimensions of the component fractals. In the

Fractal-based belief entropy

Incomplete nonextensive statistics and the zeroth law of thermodynamics

On the basis of the entropy of incomplete statistics (IS) and the joint probability factorization condition, two controversial problems existing in IS are investigated: one is what expression of the

Composition of Fractals

This work is an analytical and numerical study of the composition of several fractals into one and of the relation between the composite dimension and the dimensions of the component fractals. In the

References

SHOWING 1-10 OF 20 REFERENCES

Critique of q-entropy for thermal statistics.

  • M. Nauenberg
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
TLDR
It is shown here that the joint entropy for systems having different values of q is not defined in this formalism, and consequently fundamental thermodynamic concepts such as temperature and heat exchange cannot be considered for such systems.

A summary on entropy statistics

TLDR
The functional is a 1,’2 h,v -entropy functional and all those properties which are proved for the functional are also true for its particularizations.

Possible generalization of Boltzmann-Gibbs statistics

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the

Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory

TLDR
It is shown that this extensive generalized statistics can be useful for the correlated electron systems in weak coupling regime.

Quantification method of classification processes. Concept of structural a-entropy

TLDR
This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library.

A Fresh Take on Disorder, Or Disorderly Science?

A maverick physicist has proposed a new definition of entropy, and his idea has split the small and already contentious community of statistical physicists like a cue ball opening a game of pool.