Dynamical Systems Seminar

It is well-known that classical statistical properties of probability preserving dynamical systems do not hold or lose their significance for systems preserving an infinite measure. In this talk I will give an overview of some recent approaches which try to solve these problems. In particular, I will discuss the pointwise asymptotic behavior of Birkhoff sums and the thermodynamic formalism for maps of the interval with indifferent fixed points. I will also present some applications to continued fraction type maps.