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math.DS2003★ 1 cited
Quadratic Siegel Disks with Rough Boundaries
Xavier Buff, Arnaud Cheritat
In the quadratic family (the set of polynomials of degree 2), Petersen and Zakeri proved the existence of Siegel disks whose boundaries are Jordan curves, but not quasicircles. In…
math.DS2003★ 3 cited
On the Size of Quadratic Siegel Disks: Part I
Xavier Buff, Arnaud Cheritat
If $\a$ is an irrational number, we let , be the approximants given by its continued fraction expansion. The Bruno series $B(\a)$ is defined as $$B(\a)=\sum_…