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Uniqueness and stability of equilibrium states for random non-uniformly expanding maps
Published online by Cambridge University Press: 27 July 2022
Abstract
We consider a robust class of random non-uniformly expanding local homeomorphisms and Hölder continuous potentials with small variation. For each element of this class we develop the thermodynamical formalism and prove the existence and uniqueness of equilibrium states among non-uniformly expanding measures. Moreover, we show that these equilibrium states and the random topological pressure vary continuously in this setting.
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- © The Author(s), 2022. Published by Cambridge University Press