Two devil’s staircases in holomorphic dynamics
Shaun Bullett (Queen Mary, Univ. of London, Reino Unido)

Binary sequences and continued fraction expansions play key roles in the dynamics of iterated rational maps, Kleinian groups and holomorphic correspondences. I will talk about two devil?s staircases relating expressions for real numbers, and their application to Julia sets and the Mandelbrot Set (Douady and Hubbard) and to ?matings? between rational maps and Kleinian groups (Bullett, Penrose and Lomonaco): these matings are holomorphic correspondences which display the behaviour of a rational map on one part of the Riemann sphere, and of a Kleinian group on the complement. No background knowledge of complex dynamics will be assumed.