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math.DS2022★ 1 cited
Ergodicity of explicit logarithmic cocycles over IETs
Przemysław Berk, Frank Trujillo, Corinna Ulcigrai
We prove ergodicity in a class of skew-product extensions of interval exchange transformations given by cocycles with logarithmic singularities. This, in particular, gives explicit…
math.DS2022
Rigidity for piece-wise smooth circle maps and certain GIETs
Przemysław Berk, Frank Trujillo
The goal of this article is to show a rigidity property of conjugacies of generalized interval exchange transformations (GIETs). More precisely, we show that if two piecewise …