Equilibrium States for Non-uniformly expanding maps

Details Equilibrium States for Non-uniformly expanding maps Equilibrium States for Non-uniformly expanding maps

2006-07-14

arxiv.org/abs/math/0607347v1

Ergodic Theory Dynamical Systems, Inglaterra, v. 23, n. 6, p. 1891-1905, 2003

Mathematics

Dynamical Systems

18 pages

Scientific paper

10.1017/S0143385703000257

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.

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