### 9 februari 2006,
Moon Duchin (University of California, Davis): Random moves in the space of metrics

**Abstract.**
For a fixed topological surface, the Teichmuller space is a
parameter space for its possible metrics. These are considered up to
conformal equivalence and with a "marking" by a choice of curves. I will
discuss random walks in Teichmuller space where the moves are changes of
marking. Adapting a geometric strategy from work of Karlsson-Margulis, I
will show that sample paths for this random walk are tracked by geodesics
in the Teichmuller space, which have a nice description as metric
deformations.