Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family
Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family
We consider the Arnold family of analytic diffeomorphisms of the circle x ↦ x + t + a /2π sin(2πx) mod (1), where a, t ∈ \[0, 1) and its complexification fλ,a(z) = λzea/2(z−1/z), with λ = e2πit a holomorphic self map of ℂ\*. The parameter space contains the well …