Equilibrium states for open zooming systems with locally Hölder induced potentials are claimed to be stable under C^0 perturbations of dynamics and potential, with applications to skew-products and uniqueness.
Araujo , Semicontinuity of entropy, existence of equilibrium state s and continuity of physical measures , Dis- crete and Continuous Dynamical Systems, 17(2) (2007), 371-38 6
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Equilibrium Stability for Open Zooming Systems
Equilibrium states for open zooming systems with locally Hölder induced potentials are claimed to be stable under C^0 perturbations of dynamics and potential, with applications to skew-products and uniqueness.