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math.DS2019
Cohomological equations for linear involutions
Erwan Lanneau, Stefano Marmi, Alexandra Skripchenko
In the current note we extend results by Marmi, Moussa and Yoccoz about cohomological equations for interval exchange transformations to irreducible linear involutions.
math.DS2019★ 3 cited
Simplicity of spectrum for certain multidimensional continued fraction algorithms
Charles Fougeron, Alexandra Skripchenko
In the current paper we prove simplicity for the spectrum of Lyapunov exponents for triangle sequence and Selmer algorithm in dimension 3. We introduce a strategy that can be appli…