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.
Kahane, Some Random series of functions , 2nd edition (Cambridge University Press,1985)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DS 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
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.