Quantification method of classification processes. Concept of structural -entropy
Quantization Dimension Estimate of Inhomogeneous Self-Similar Measures
We consider an inhomogeneous measure μ with the inhomogeneous part a self-similar measure ν, and show that for a given r ∈ (0,∞) the lower and the upper quantization dimensions of order r of μ are bounded below by the quantization dimension of ν and bounded above by a unique number , related to the temperature function of the thermodynamic formalism that arises in the multifractal analysis of μ.
Quasi-entropy of finite weighted metric spaces