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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
Affine IETs with a singular conjugacy to an IET
Frank Trujillo, Corinna Ulcigrai
We produce affine interval exchange transformations (AIETs) which are topologically conjugated to (standard) interval exchange maps (IETs) via a singular conjugacy, i.e. a diffeomo…
math.DS2022
Dynamics and 'arithmetics' of higher genus surface flows
Corinna Ulcigrai
We survey some recent advances in the study of (area-preserving) flows on surfaces, in particular on the typical dynamical, ergodic and spectral properties of smooth area-preservin…