Siegel disks with smooth boundaries

Artur Avila, Xavier Buff, Arnaud Chéritat

Acta Mathematica · 2004 · 53 citations · 11 references

DOIFull text

Open access

Concepts

Abstract

Abstract. We show the existence of angles α ∈ R/Z such that the quadratic polynomial Pα(z) = e2ipiαz+ z2 has a Siegel disk with C∞-smooth boundary. This result was first announced by R. Pérez-Marco in 1993.

References

11