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Subjects
94-XX Information and communication, circuits
94Axx Communication, information
94A15 Information theory, general

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

Jan Havrda, František Charvát (1967)

Kybernetika

Quantization Dimension Estimate of Inhomogeneous Self-Similar Measures

Mrinal Kanti Roychowdhury (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

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 $D_{r} (ν)$ of ν and bounded above by a unique number $κ_{r} \in (0, \infty)$ , related to the temperature function of the thermodynamic formalism that arises in the multifractal analysis of μ.

Quasi-entropy of finite weighted metric spaces

Miroslav Katětov (1976)

Commentationes Mathematicae Universitatis Carolinae

Currently displaying 1 – 3 of 3