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Equilibrium states for non-uniformly expanding maps

Published online by Cambridge University Press:  02 December 2003

KRERLEY OLIVEIRA
Affiliation:
Departamento de Matematica, UFAL, Campus A.C. Simoes, s/n 57072-090 Maceio, Alagoas, Brazil (e-mail: [email protected])

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
Copyright
2003 Cambridge University Press

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