Dynamical Systems Seminar

Uniformly quasiconformal partially hyperbolic systems

It is well known that the central foliations of partially hyperbolic systems are rarely smooth. We proved a rigidity phenomenon in partially hyperbolic dynamics: under suitable hypotheses (i.e. quasiconformality on stable and unstable distributions), one can prove the smoothness of center foliations. This is a joint work with C. Butler.