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Type: Artigo de periódico
Title: Weak KAM methods and ergodic optimal problems for countable Markov shifts
Author: Bissacot, R
Garibaldi, E
Abstract: Let sigma: I pound -> I pound be the left shift acting on I pound, a one-sided Markov subshift on a countable alphabet. Our intention is to guarantee the existence of sigma-invariant Borel probabilities that maximize the integral of a given locally Holder continuous potential A: I pound -> a'e. Under certain conditions, we are able to show not only that A-maximizing probabilities do exist, but also that they are characterized by the fact their support lies actually in a particular Markov subshift on a finite alphabet. To that end, we make use of objects dual to maximizing measures, the so-called sub-actions (concept analogous to subsolutions of the Hamilton-Jacobi equation), and specially the calibrated sub-actions (notion similar to weak KAM solutions).
Subject: weak KAM methods
countable Markov shifts
ergodic optimization
maximizimg measures
Country: EUA
Editor: Springer
Citation: Bulletin Of The Brazilian Mathematical Society. Springer, v. 41, n. 3, n. 321, n. 338, 2010.
Rights: fechado
Identifier DOI: 10.1007/s00574-010-0014-z
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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