2021
DOI: 10.4064/fm932-12-2020
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Coarse entropy

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Cited by 5 publications
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“…Let us start with the definition of the coarse entropy [1] of a map f : X → X, where (X, d) is a metric space. It is defined as (1) h…”
Section: The Coarse Entropy Of a Metric Spacementioning
confidence: 99%
See 4 more Smart Citations
“…Let us start with the definition of the coarse entropy [1] of a map f : X → X, where (X, d) is a metric space. It is defined as (1) h…”
Section: The Coarse Entropy Of a Metric Spacementioning
confidence: 99%
“…When the constant A is not important, we will also say that Z is coarsely dense in X. It was proved in [1] that in the definition of the coarse entropy of a map, R-separated sets can be replaced with R-dense sets. Namely, instead of the supremum s(f, n, R, δ, x 0 ) of the cardinalities of R-separated sets of δ-pseudoorbits of f of length n starting at x 0 , in formula (1) one can take the minimum r(f, n, R, δ, x 0 ) of the cardinalities of R-dense sets of δ-pseudoorbits of f of length n starting at x 0 .…”
Section: The Coarse Entropy Of a Metric Spacementioning
confidence: 99%
See 3 more Smart Citations