2 citations · 6 across the 12 of their papers we have counts for
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math.DS2022★ 1 cited
On the Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms
Frank Trujillo
We show that, generically, the unique invariant measure of a sufficiently regular piecewise smooth circle homeomorphism with irrational rotation number and zero mean nonlinearity (…
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…