Ergodicity of skew products over symmetric interval exchange transformations.
Vendredi, 3 Mars, 2023 - 10:30
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.
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