BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Tropical limit of complex dynamical systems Shishikura, Mitsuhiro


Complex rational maps induce rich and interesting dynamics on the Riemann sphere. We consider what happens to the dynamics when a rational map tends to the boundary of moduli space, i.e. tends to a lower degree map. A typical example is given by a stretching quasiconformal deformation of Fatou sets. In this case, the limit can be described a piecewise linear map on a tree. We discuss an inverse problem and related questions on quasiconformal deformation of annuli.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International