Variational Principles For BS Dimension of Subsets

Details Variational Principles For BS Dimension of Subsets Variational Principles For BS Dimension of Subsets

2011-11-30

arxiv.org/abs/1111.7121v1

Mathematics

Dynamical Systems

28 pages. arXiv admin note: substantial text overlap with arXiv:1012.1103 by different authors

Scientific paper

We redefine BS-dimension for Caratheodory structure by packing method. We
have the same dimension properties with respect to the cover method and check
the Bowen's equation for the new dimension as well. Besides, we consider the
relation between the new BS-dimension and upper and lower BS-density
respectively. We extend the variational principles of entropy to BS dimension.

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