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- W4284966504 abstract "We prove a variational principle for the upper and lower metric mean dimension of level sets [ left{xin X: lim_{ntoinfty}frac{1}{n}sum_{j=0}^{n-1}varphi(f^{j}(x))=alpharight} ] associated to continuous potentials $varphi:Xto mathbb R$ and continuous dynamics $f:Xto X$ defined on compact metric spaces and exhibiting the specification property. This result relates the upper and lower metric mean dimension of the above mentioned sets with growth rates of measure-theoretic entropy of partitions decreasing in diameter associated to some special measures. Moreover, we present several examples to which our result may be applied to. Similar results were previously known for the topological entropy and for the topological pressure." @default.
- W4284966504 created "2022-07-10" @default.
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- W4284966504 date "2022-07-07" @default.
- W4284966504 modified "2023-09-26" @default.
- W4284966504 title "A variational principle for the metric mean dimension of level sets" @default.
- W4284966504 doi "https://doi.org/10.1109/tit.2023.3284613" @default.
- W4284966504 hasPublicationYear "2022" @default.
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