Abstract: In this talk I'll show a completely different construction of equilibrium states associated to Hölder potentials for hyperbolic systems, and indicate the necessary modifications to deal with certain partially hyperbolic cases. The key point for this extension is avoiding altoghether the use of symbolic dynamics and the Perron-Frobenious method. Time permiting I'll discuss applications.
This is a joint project with F. Rodriguez-Hertz (PSU).