Localized variational principle for non-Besicovitch metric spaces

We consider the localized entropy of a point w∈Rm which is computed by considering only those (n,ε)-separated sets whose statistical sums with respect to an m-dimensional potential Φ are “close” to a given value w. Previously, a local version of the variational principle was established for systems...

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Bibliographic Details
Published in:Topology and its applications 2015-08, Vol.190, p.22-30
Main Author: Kucherenko, Tamara
Format: Article
Language:English
Subjects:
Generalized rotation sets
Localized entropy
Topological entropy
Variational principle
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Summary:We consider the localized entropy of a point w∈Rm which is computed by considering only those (n,ε)-separated sets whose statistical sums with respect to an m-dimensional potential Φ are “close” to a given value w. Previously, a local version of the variational principle was established for systems on non-Besicovitch compact metric spaces. We extend this result to all compact metric spaces.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2015.03.016