Geometric interpretation of entropy: new resultsстатья
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Дата последнего поиска статьи во внешних источниках: 20 октября 2021 г.
Аннотация:We consider a relation between the metric entropy and local boundary deformationrate (LBDR) in the symbolic case. We prove that the LBDR understood as a limit in the mean isequal to the entropy for systems containing an essentially synchronized subshift of full measure.We also obtain an example of this relation in the case where such a subshift is lacking. Weshow for the first time that if the LBDR is understood as a limit almost everywhere, then theequality between this quantity and the entropy need not hold.