FG1 Seminar talk

Benoit Loridant
Ziffernsysteme und fraktale Zerlegungen der Ebene

To a root of particular quadratic polynomials, one can attach a plane compact set T with nonempty interior with the following property: there is a 2x2 expanding matrix A such that A(T) is the union of a finite number of translates of T. Such attractors provide a tiling of the plane by their translates. Graph theoretical and other methods for the determination of topological properties of these tiles (existence of cut points, disk-likeness, fundamental group) will be presented.

(Der Vortrag wird auf Deutsch gehalten.)