1 citations · 2 across the 2 of their papers we have counts for
3 papers
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.NT2019★ 1 cited
Metric Diophantine approximation with congruence conditions
Erez Nesharim, Rene Rühr, Ronggang Shi
We prove a version of the Khinchine--Groshev theorem for Diophantine approximation of matrices subject to a congruence condition. The proof relies on an extension of the Dani corre…
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…