7 citations · 15 across the 13 of their papers we have counts for
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math.DS2024★ 1 cited
On the ergodicity of anti-symmetric skew products with singularities and its applications
Przemysław Berk, Krzysztof Frączek, Frank Trujillo
We introduce a novel method for proving ergodicity for skew products of interval exchange transformations (IETs) with piecewise smooth cocycles having singularities at the ends of…
math.DS2024
Ergodic properties of infinite extension of symmetric interval exchange transformations
Przemysław Berk, Frank Trujillo, Hao Wu
We prove that skew products with the cocycle given by the function with are ergodic for every ergodic symmetric IET in the base, thus giving the full char…
math.DS2024
Ergodicity of skew-products over typical IETs
Fernando Argentieri, Przemysław Berk, Frank Trujillo
We prove ergodicity of a class of infinite measure preserving systems, called skew-products. More precisely, we consider systems of the form \[ {T_f}:{[0, 1) \times \mathbb{R}}\to{…