### 17 maj, Peter W. Jones (Yale University):
Schwarzian derivatives for SLE mappings and approximation by Julia
Sets

**Abstract.**
We present two results on dynamical systems. The first, due to
Nam-Gyu Kang, gives a remarkable identity for Schwarzian derivatives of
Riemann Mappings from the upper half plane to the exterior of SLE traces.
The second result (joint work with Ilia Binder) is a strong approximation
theorem for the f(alpha) spectrum for arbitrary planar domains (with
respect
to harmonic measure), where the approximation is by hyperbolic or "Pure
Cantor" Julia Sets. We also make some speculations about both of these
problems.