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math.DS2015
Sternberg linearization theorem for skew products
Yulij Ilyashenko, Olga Romaskevich
We present a new kind of normalization theorem: linearization theorem for skew products. The normal form is a skew product again, with the fiber maps linear. It appears, that even…
math.DS2015★ 1 cited
Mean convergence of Markovian spherical averages for measure-preserving actions of the free group
Lewis Bowen, Alexander Bufetov, Olga Romaskevich
Mean convergence of Markovian spherical averages is established for a measure-preserving action of a finitely-generated free group on a probability space. We endow the set of gener…