Power Fourier decay is proved for equilibrium states of nonlinear area-preserving Axiom A surface diffeomorphisms, giving positive lower Fourier dimension for certain C^{1+} self-conformal measures and for the Fibonacci Hamiltonian density of states.
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Fourier decay of equilibrium states and the Fibonacci Hamiltonian
Power Fourier decay is proved for equilibrium states of nonlinear area-preserving Axiom A surface diffeomorphisms, giving positive lower Fourier dimension for certain C^{1+} self-conformal measures and for the Fibonacci Hamiltonian density of states.