Weighted mean topological dimension
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124524
Abstract: Abstract This paper is devoted to the investigation of the weighted mean topological dimension in dynamical systems. We show that the weighted mean dimension is not larger than the weighted metric mean dimension, which generalizes… read more here.
Keywords: dimension; dimension weighted; mean dimension; topological dimension ... See more keywords
Some Notes on Variational Principle for Metric Mean Dimension
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3229058
Abstract: In this note, we establish variational principles for mean dimension and metric mean dimension. Our main results are as follows. (1) We establish a variational principle for metric mean dimension in terms of $L^{\infty }$… read more here.
Keywords: metric mean; dimension; mean dimension; variational principle ... See more keywords