9 citations · 12 across the 6 of their papers we have counts for
7 papers
On bond anisotropy for the ising model through the geometry of numbers
René Rühr
We associate to each unit volume lattice of the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical…
Pressure Inequalities for Gibbs Measures of Countable Markov Shifts
René Rühr
We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of…
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.
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…
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…
A badly expanding set on the -torus
Rene Rühr
We give a counterexample to a conjecture stated in Linial and London 2006 regarding expansion on under and $\begin{bmatrix}1&…