Michal Rams (Varsó): Structure of the space of ergodic measures for some skew-product dynamics

We consider a skew-product system over the full shift given by two homeomorphisms of an interval [0,1]: $f_0$ preserving orientation (with $f_0(x)>x$ for all $x\in (0,1)$) and $f_1$ reversing orientation. We describe the geometry of the space of invariant measures for such systems. This is a joint work with L. Diaz, K. Gelfert, and T. Marcarini.