13 citations · 17 across the 4 of their papers we have counts for
5 papers · 1 filter
Effective intrinsic ergodicity for countable state Markov shifts
René Rühr, Omri Sarig
For strongly positively recurrent countable state Markov shifts, we bound the distance between an invariant measure and the measure of maximal entropy in terms of the difference of…
Classification and statistics of cut and project sets
René Rühr, Yotam Smilansky, Barak Weiss
We define Ratner-Marklof-Strombergsson measures. These are probability measures supported on cut-and-project sets in R^d (d > 1) which are invariant and ergodic for the action of t…
Effective counting for discrete lattice orbits in the plane via Eisenstein series
Claire Burrin, Amos Nevo, Rene Rühr +1
We prove effective bounds on the rate in the quadratic growth asymptotics for the orbit of a non-uniform lattice of SL(2,R), acting linearly on the plane. This gives an error bound…
Effective counting on translation surfaces
Amos Nevo, Rene Rühr, Barak Weiss
We prove an effective version of a celebrated result of Eskin and Masur: for any affine invariant manifold of translation surfaces, almost every translation surface has quadratic g…
Distribution of Shapes of orthogonal Lattices
Manfred Einsiedler, Rene Rühr, Philipp Wirth
It was recently shown by Aka, Einsiedler and Shapira that if d>2, the set of primitive vectors on large spheres when projected to the d-1-dimensional sphere coupled with the shape…