Variational Principles For BS Dimension of Subsets
Dynamical Systems
2011-12-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1111.7121,
title = {Variational Principles For BS Dimension of Subsets},
author = {Chenwei Wang and Ercai Chen},
journal= {arXiv preprint arXiv:1111.7121},
year = {2011}
}
Comments
28 pages. arXiv admin note: substantial text overlap with arXiv:1012.1103 by different authors