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Название: On Rigorous Mathematical Definitions of Correlation Dimension and Generalized Spectrum for Dimensions
Автор: Pesin Ya.B.
We consider different definitions of the correlation dimension and find some relationships between them and other characteristics of dimension type such as Hausdorff dimension, box dimension, etc. We also introduce different ways to define and study the generalized spectrum for dimensions — a one-parameter family of characteristics of dimension type.