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Published in 2020 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2020.1760259
Abstract: In this paper, we introduce the definitions of mean dimensions and upper metric mean dimensions for partial -actions. Our theorem provides a natural and intrinsic characterization of mean dimensions and upper metric mean dimensions for…
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Keywords:
metric mean;
upper metric;
dimensions partial;
mean dimensions ... See more keywords
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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 $L^{\infty }$…
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Keywords:
metric mean;
dimension;
mean dimension;
variational principle ... See more keywords