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Equilibrium states for non-uniformly expanding maps

Published online by Cambridge University Press:  02 December 2003

KRERLEY OLIVEIRA
KRERLEY OLIVEIRA
Affiliation:
Departamento de Matematica, UFAL, Campus A.C. Simoes, s/n 57072-090 Maceio, Alagoas, Brazil (e-mail: krerley@mat.ufal.br)
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Abstract

We construct equilibrium states, including measures of maximal entropy, for a large (open) class of non-uniformly expanding maps on compact manifolds. Moreover, we study uniqueness of these equilibrium states, as well as some of their ergodic properties.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 6 , December 2003 , pp. 1891 - 1905
Copyright
2003 Cambridge University Press

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