Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/238459
Type: Artigo
Title: Aubry set for asymptotically sub-additive potentials
Author: Garibaldi, Eduardo
Gomes, João Tiago Assunção
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
Given a topological dynamical systems (X, T), consider a sequence of continuous potentials F := {fn : X → R}n≥1 that is asymptotically approached by sub-additive families. In a generalized version of ergodic optimization theory, one is interested in descr
Subject: Otimização ergódica
Teoria espectral (Matemática)
Teoria dos sistemas dinâmicos
Física estatística
Country: Singapura
Editor: World Scientific
Citation: Stochastics And Dynamics. World Scientific Publishing Co. Pte Ltd, v. 16, n. 2, p. , 2016.
Rights: Fechado
Identifier DOI: 10.1142/S0219493716600091
Address: https://www.worldscientific.com/doi/abs/10.1142/S0219493716600091
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
2-s2.0-84955606795.pdf361.36 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.