Abstract:
Ergodic theory (or measurable dynamics) and topological dynamics are two sister branches of the theory of dynamical systems whose origins can be traced back to PoincarĂ©`s work on celestial mechanics. The relation between the two disciplines is reflected by a common vocabulary which describes different but parallel notions as well as by deep and sometimes unexpected connections. A significant impetus for the development of the two disciplines was given by Furstenberg`s celebrated proof of SzemerĂ©di`s theorem. Nowadays the circle of ideas behind this proof plays as an important role as it did 40 years ago.
The aim of the session is to bring together researchers working in both fields, in order to report the newest progress, exchange ideas, forge new cooperation and to discuss both classical and merging open problems.
