Przemyslaw Berk

By using the properties of symmetric interval exchange transformations, we show how to control Birkhoff sums of functions satisfying certain "oddity" assumptions. In particular we show ergodicity of skew products over a typical symmetric interval exchange transformation given by some cocycles with symmetric logarithmic singularities as well as by a characteristic function of the interval (0,1/2).

This is joint work with Frank Trujillo and Corinna Ulcigrai.