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Type: Artigo de periódico
Title: Aubry Set For Asymptotically Sub-additive Potentials
Abstract: Given a topological dynamical systems (Formula presented.), consider a sequence of continuous potentials (Formula presented.) that is asymptotically approached by sub-additive families. In a generalized version of ergodic optimization theory, one is interested in describing the set (Formula presented.) of (Formula presented.)-invariant probabilities that attain the following maximum value (Formula presented.) For this purpose, we extend the notion of Aubry set, denoted by (Formula presented.). Our central result provides sufficient conditions for the Aubry set to be a maximizing set, i.e. (Formula presented.) belongs to (Formula presented.) if, and only if, its support lies on (Formula presented.). Furthermore, we apply this result to the study of the joint spectral radius in order to show the existence of periodic matrix configurations approaching this value. © 2016 World Scientific Publishing Company
Editor: World Scientific Publishing Co. Pte Ltd
Citation: Stochastics And Dynamics. World Scientific Publishing Co. Pte Ltd, v. 16, n. 2, p. , 2016.
Rights: embargo
Identifier DOI: 10.1142/S0219493716600091
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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