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math.DS2019★ 1 cited
A Convexity Criterion for Unique Ergodicity of Interval Exchange Transformations
Rene Rühr
A criterion for unique ergodicity for points of a curve in the space of interval exchange transformation is given.
math.DS2018
Counting saddle connections in a homology class modulo
Michael Magee, Rene Rühr, Rodolfo Gutiérrez-Romo
We give effective estimates for the number of saddle connections on a translation surface that have length and are in a prescribed homology class modulo . Our estimates…